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Horadam, Alwyn Francis (b. 1923 d. 2016)

Co-Author Distance
Author ID: horadam.alwyn-f Recent zbMATH articles by "Horadam, Alwyn Francis"
Published as: Horadam, A. F.; Horadam, Alwyn F.
External Links: MGP · GND · IdRef
Documents Indexed: 150 Publications since 1957, including 1 Book
8 Contributions as Editor
Reviewing Activity: 16 Reviews
Biographic References: 4 Publications
Co-Authors: 19 Co-Authors with 79 Joint Publications
259 Co-Co-Authors
all top 5

Co-Authors

79 single-authored
33 Shannon, Anthony Greville
15 Filipponi, Piero
12 Mahon, Brother J. M.
9 Bergum, Gerald Edward
7 Philippou, Andreas N.
6 Loh, R. P.
4 Pethe, S. P.
4 Walton, J. E.
1 Anderson, Peter Gordon
1 Bennett, Larry F.
1 Brugia, Odoardo
1 Collings, S. N.
1 Horadam, Eleanor Mollie
1 Melham, Raymond Samuel
1 Menicocci, Renato
1 Moore, S. D.
1 Swita, Baki
1 Treweek, A. P.
1 Wallis, Walter D.
all top 5

Serials

87 The Fibonacci Quarterly
4 American Mathematical Monthly
4 International Journal of Mathematical Education in Science and Technology
3 Portugaliae Mathematica
3 The Quarterly Journal of Mathematics. Oxford Second Series
2 Mathematics Magazine
2 Canadian Journal of Mathematics
2 Duke Mathematical Journal
2 Ulam Quarterly
2 Notes on Number Theory and Discrete Mathematics
1 Bulletin of the Australian Mathematical Society
1 The Mathematical Gazette
1 Bulletin of the Calcutta Mathematical Society
1 Bulletin of the Malaysian Mathematical Society. Second Series
1 Journal of Natural Sciences and Mathematics
1 Mathematica Scandinavica
1 The Mathematics Student
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Bulletin of Number Theory and Related Topics
1 Lecture Notes in Mathematics
1 Mathematics and its Applications (Dordrecht)
all top 5

Fields

143 Number theory (11-XX)
18 Combinatorics (05-XX)
9 General and overarching topics; collections (00-XX)
7 Special functions (33-XX)
4 Algebraic geometry (14-XX)
4 Real functions (26-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Difference and functional equations (39-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

86 Publications have been cited 915 times in 547 Documents Cited by ▼ Year ▼
Complex Fibonacci numbers and Fibonacci quaternions. Zbl 0122.29402
Horadam, A. F.
119
1963
Basic properties of a certain generalized sequence of numbers. Zbl 0131.04103
Horadam, A. F.
103
1965
A generalized Fibonacci sequence. Zbl 0113.26605
Horadam, A. F.
79
1961
Pell and Pell-Lucas polynomials. Zbl 0557.10011
Horadam, Alwyn F.; Mahon, Brother J. M.
77
1985
Jacobsthal representation numbers. Zbl 0869.11013
Horadam, A. F.
60
1996
Quaternion recurrence relations. Zbl 0846.11013
Horadam, Alwyn F.
40
1993
Pell identities. Zbl 0219.10018
Horadam, A. F.
40
1971
Generating functions for powers of a certain generalized sequence of numbers. Zbl 0131.04104
Horadam, A. F.
39
1965
Jacobsthal representation polynomials. Zbl 0917.11009
Horadam, A. F.
34
1997
Vieta polynomials. Zbl 1090.11012
Horadam, A. F.
29
2002
Properties of Cordonnier, Perrin and Van der Laan numbers. Zbl 1149.11300
Shannon, A. G.; Anderson, P. G.; Horadam, A. F.
24
2006
Derivative sequences of Fibonacci and Lucas polynomials. Zbl 0744.11013
Filipponi, Piero; Horadam, Alwyn F.
23
1991
Second derivative sequences of Fibonacci and Lucas polynomials. Zbl 0779.11009
Filipponi, Piero; Horadam, Alwyn F.
18
1993
Jacobsthal and Pell curves. Zbl 0644.10014
Horadam, Alwyn F.
18
1988
Special properties of the sequence \(w_n(a,b; p,q)\). Zbl 0159.05504
Horadam, A. F.
16
1967
Genocchi polynomials. Zbl 0749.11019
Horadam, Alwyn F.
14
1991
Chebyshev and Fermat polynomials for diagonal functions. Zbl 0419.10013
Horadam, A. F.
12
1979
Some properties of third-order recurrence relations. Zbl 0233.10007
Shannon, A. G.; Horadam, A. F.
9
1972
Polynomials associated with Gegenbauer polynomials. Zbl 0477.10013
Horadam, A. F.; Pethe, S.
9
1981
Gegenbauer polynomials revisited. Zbl 0589.10016
Horadam, Alwyn F.
7
1985
A synthesis of certain polynomial sequences. Zbl 0852.11005
Horadam, Alwyn F.
6
1996
Arrowhead curves in a tree of Pythagorean triples. Zbl 0817.11018
Shannon, A. G.; Horadam, Alwyn F.
6
1994
Applications of modified Pell numbers to representations. Zbl 0874.11023
Horadam, A. F.
6
1995
Generalised Gaussian Fibonacci numbers. Zbl 0574.10019
Pethe, S.; Horadam, Alwyn F.
6
1986
Negative order Genocchi polynomials. Zbl 0749.11020
Horadam, Alwyn F.
5
1992
Inverse trigonometrical summation formulas involving Pell polynomials. Zbl 0572.10010
Mahon, Brother J. M.; Horadam, Alwyn F.
5
1985
Fibonacci number triples. Zbl 0122.29401
Horadam, A. F.
5
1961
Real Pell and Pell-Lucas numbers with real subscripts. Zbl 0838.11012
Horadam, Alwyn F.; Filipponi, Piero
4
1995
Some relationships among Vieta, Morgan-Voyce and Jacobsthal polynomials. Zbl 0960.11014
Shannon, A. G.; Horadam, A. F.
4
1999
Generation of Genocchi polynomials of first order by recurrence relations. Zbl 0770.11015
Horadam, Alwyn F.
4
1992
Generalized Fibonacci number triples. Zbl 0251.10014
Shannon, A. G.; Horadam, A. F.
4
1973
Special recurrence relations associated with the sequence \(\{\omega_n(a,b;p,q)\}\). Zbl 0419.10012
Shannon, A. G.; Horadam, A. F.
4
1979
New aspects of Morgan-Voyce polynomials. Zbl 0921.11011
Horadam, A. F.
3
1998
Extension of a synthesis for a class of polynomial sequences. Zbl 0838.11014
Horadam, Alwyn F.
3
1996
Integration and derivative sequences for Pell and Pell-Lucas polynomials. Zbl 0891.11005
Horadam, A. F.; Swita, B.; Filipponi, P.
3
1994
Some further identities for the generalized Fibonacci sequence \(\{ H_n \}\). Zbl 0296.10005
Walton, J. E.; Horadam, A. F.
3
1974
Convolutions for Pell polynomials. Zbl 0592.10010
Horadam, Alwyn F.; Mahon, Brother J. M.
3
1986
Generalization of a result of Morgado. Zbl 0631.10005
Horadam, Alwyn F.
3
1987
Elliptic functions and Lambert series in the summation of reciprocals in certain recurrence-generated sequences. Zbl 0647.10014
Horadam, Alwyn F.
3
1988
A locus in [8] invariant under a group of order 51840 \(\times\) 81. Zbl 0085.36003
Horadam, A. F.
3
1957
A guide to undergraduate projective geometry. Zbl 0217.18302
Horadam, A. F.
3
1970
Roots of recurrence-generated polynomials. Zbl 0488.10012
Horadam, A. F.; Horadam, E. M.
3
1982
Derivative sequences of Jacobsthal and Jacobsthal-Lucas polynomials. Zbl 0909.11004
Horadam, Alwyn F.; Filipponi, Piero
2
1997
Polynomials associated with generalized Morgan-Voyce polynomials. Zbl 0868.11007
Horadam, A. F.
2
1996
Oresme numbers. Zbl 0289.10007
Horadam, A. F.
2
1974
Generalization of identities of Catalan and others. Zbl 0634.10012
Horadam, Alwyn F.; Shannon, A. G.
2
1987
Fibonacci and Lucas curves. Zbl 0644.10013
Horadam, Alwyn F.; Shannon, A. G.
2
1988
Matrix and other summation techniques for Pell polynomials. Zbl 0603.10015
Mahon, Brother J. M.; Horadam, Alwyn F.
2
1986
Mixed Pell polynomials. Zbl 0633.10013
Horadam, Alwyn F.; Mahon, Brother J. M.
2
1987
Ward’s Staudt-Clausen problem. Zbl 0347.10010
Horadam, A. F.; Shannon, A. G.
2
1977
Jacobsthal polynomials and a conjecture concerning Fibonacci-like matrices. Zbl 0573.10009
Bergum, G. E.; Bennett, Larry; Horadam, Alwyn F.; Moore, S. D.
2
1985
Involutions associated with the Burkhardt configuration in [4]. Zbl 0088.37203
Horadam, A. F.
2
1959
Clifford groups in the plane. Zbl 0091.32902
Horadam, A. F.
2
1959
Tschebyscheff and other functions associated with the sequence \(\{w_ n(a,b; p,q)\}\). Zbl 0182.37402
Horadam, A. F.
2
1969
Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th international research conference on Fibonacci numbers and their applications, Graz, Austria, July 15–19, 1996. Zbl 0930.00037
1
1998
An alternative proof of a unique representation theorem. Zbl 0816.11009
Horadam, Alwyn F.
1
1994
Extended Dickson polynomials. Zbl 0834.11008
Filipponi, Piero; Menicocci, Renato; Horadam, Alwyn F.
1
1994
Minmax sequences for Pell numbers. Zbl 0851.11008
Horadam, Alwyn F.
1
1996
A search for solutions of a functional equation. Zbl 0862.11021
Shannon, A. G.; Loh, R. P.; Melham, R. S.; Horadam, Alwyn F.
1
1996
Generalized Pell numbers and polynomials. Zbl 1072.11017
Shannon, A. G.; Horadam, A. F.
1
2004
Integration sequences of Jacobsthal and Jacobsthal-Lucas polynomials. Zbl 0960.11010
Filipponi, Piero; Horadam, Alwyn F.
1
1999
A note on the improper use of a formula for Fibonacci numbers. Zbl 0773.11014
Filipponi, Piero; Brugia, Odoardo; Horadam, Alwyn F.
1
1993
Unique minimal representation of integers by negatively subscripted Pell numbers. Zbl 0809.11010
Horadam, Alwyn F.
1
1994
Quasi Morgan-Voyce polynomials and Pell convolutions. Zbl 0952.11001
Horadam, A. F.
1
1999
Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Zbl 0781.00009
1
1993
Zeckendorf representations of positive and negative integers by Pell numbers. Zbl 0802.11002
Horadam, Alwyn F.
1
1993
Morgan-Voyce convolutions. Zbl 1037.11006
Horadam, A. F.
1
2002
Morgan-Voyce polynomial derivative sequences. Zbl 0990.11007
Horadam, Alwyn F.; Filipponi, Piero
1
2001
Convolutions for Jacobsthal-type polynomials. Zbl 1079.11010
Horadam, A. F.
1
2002
Chebyshev and Pell connections. Zbl 1078.11008
Horadam, A. F.
1
2005
Generalized Gaussian Lucas primordial functions. Zbl 0639.10011
Pethe, S.; Horadam, Alwyn F.
1
1988
A matrix approach to certain identities. Zbl 0643.15004
Filipponi, Piero; Horadam, Alwyn F.
1
1988
Third-order diagonal functions of Pell polynomials. Zbl 0688.10008
Mahon, Brother J. M.; Horadam, Alwyn F.
1
1990
Cyclotomy-generated polynomials of Fibonacci type. Zbl 0593.12007
Horadam, Alwyn F.; Shannon, A. G.
1
1986
Ordinary generating functions for Pell polynomials. Zbl 0609.10006
Mahon, Brother J. M.; Horadam, Alwyn F.
1
1987
Generalized staggered sums. Zbl 0723.11011
Shannon, A. G.; Horadam, Alwyn F.
1
1991
Euclidean coordinates as generalized Fibonacci number products. Zbl 0603.10010
Horadam, Alwyn F.; Pethe, S.
1
1986
Falling factorial polynomials of generalized Fibonacci type. Zbl 0724.11008
Horadam, Alwyn F.
1
1990
Cholesky algorithm matrices of Fibonacci type and properties of generalized sequences. Zbl 0734.11015
Horadam, Alwyn F.; Filipponi, Piero
1
1991
Fibonacci numbers and their applications. (Papers from the 1st International Conference on Fibonacci Numbers and their Applications, held at the University of Patras, Greece, August 27–31, 1984). Zbl 0582.00009
1
1986
Infinite classes of sequence-generated circles. Zbl 0542.10009
Shannon, A. G.; Horadam, A. F.; Bergum, Gerald E.
1
1984
Extensions of a paper on diagonal functions. Zbl 0464.10005
Horadam, A. F.
1
1980
Geometry of a generalized Simson’s formula. Zbl 0486.10013
Horadam, A. F.
1
1982
Generating functions for powers of third order recurrence sequences. Zbl 0226.05008
Shannon, A. G.; Horadam, A. F.
1
1971
Zigzag polynomials. Zbl 0578.10015
Horadam, Alwyn F.
1
1985
Wythoff pairs. Zbl 0387.10008
Horadam, A. F.
1
1978
Properties of Cordonnier, Perrin and Van der Laan numbers. Zbl 1149.11300
Shannon, A. G.; Anderson, P. G.; Horadam, A. F.
24
2006
Chebyshev and Pell connections. Zbl 1078.11008
Horadam, A. F.
1
2005
Generalized Pell numbers and polynomials. Zbl 1072.11017
Shannon, A. G.; Horadam, A. F.
1
2004
Vieta polynomials. Zbl 1090.11012
Horadam, A. F.
29
2002
Morgan-Voyce convolutions. Zbl 1037.11006
Horadam, A. F.
1
2002
Convolutions for Jacobsthal-type polynomials. Zbl 1079.11010
Horadam, A. F.
1
2002
Morgan-Voyce polynomial derivative sequences. Zbl 0990.11007
Horadam, Alwyn F.; Filipponi, Piero
1
2001
Some relationships among Vieta, Morgan-Voyce and Jacobsthal polynomials. Zbl 0960.11014
Shannon, A. G.; Horadam, A. F.
4
1999
Integration sequences of Jacobsthal and Jacobsthal-Lucas polynomials. Zbl 0960.11010
Filipponi, Piero; Horadam, Alwyn F.
1
1999
Quasi Morgan-Voyce polynomials and Pell convolutions. Zbl 0952.11001
Horadam, A. F.
1
1999
New aspects of Morgan-Voyce polynomials. Zbl 0921.11011
Horadam, A. F.
3
1998
Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th international research conference on Fibonacci numbers and their applications, Graz, Austria, July 15–19, 1996. Zbl 0930.00037
1
1998
Jacobsthal representation polynomials. Zbl 0917.11009
Horadam, A. F.
34
1997
Derivative sequences of Jacobsthal and Jacobsthal-Lucas polynomials. Zbl 0909.11004
Horadam, Alwyn F.; Filipponi, Piero
2
1997
Jacobsthal representation numbers. Zbl 0869.11013
Horadam, A. F.
60
1996
A synthesis of certain polynomial sequences. Zbl 0852.11005
Horadam, Alwyn F.
6
1996
Extension of a synthesis for a class of polynomial sequences. Zbl 0838.11014
Horadam, Alwyn F.
3
1996
Polynomials associated with generalized Morgan-Voyce polynomials. Zbl 0868.11007
Horadam, A. F.
2
1996
Minmax sequences for Pell numbers. Zbl 0851.11008
Horadam, Alwyn F.
1
1996
A search for solutions of a functional equation. Zbl 0862.11021
Shannon, A. G.; Loh, R. P.; Melham, R. S.; Horadam, Alwyn F.
1
1996
Applications of modified Pell numbers to representations. Zbl 0874.11023
Horadam, A. F.
6
1995
Real Pell and Pell-Lucas numbers with real subscripts. Zbl 0838.11012
Horadam, Alwyn F.; Filipponi, Piero
4
1995
Arrowhead curves in a tree of Pythagorean triples. Zbl 0817.11018
Shannon, A. G.; Horadam, Alwyn F.
6
1994
Integration and derivative sequences for Pell and Pell-Lucas polynomials. Zbl 0891.11005
Horadam, A. F.; Swita, B.; Filipponi, P.
3
1994
An alternative proof of a unique representation theorem. Zbl 0816.11009
Horadam, Alwyn F.
1
1994
Extended Dickson polynomials. Zbl 0834.11008
Filipponi, Piero; Menicocci, Renato; Horadam, Alwyn F.
1
1994
Unique minimal representation of integers by negatively subscripted Pell numbers. Zbl 0809.11010
Horadam, Alwyn F.
1
1994
Quaternion recurrence relations. Zbl 0846.11013
Horadam, Alwyn F.
40
1993
Second derivative sequences of Fibonacci and Lucas polynomials. Zbl 0779.11009
Filipponi, Piero; Horadam, Alwyn F.
18
1993
A note on the improper use of a formula for Fibonacci numbers. Zbl 0773.11014
Filipponi, Piero; Brugia, Odoardo; Horadam, Alwyn F.
1
1993
Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Zbl 0781.00009
1
1993
Zeckendorf representations of positive and negative integers by Pell numbers. Zbl 0802.11002
Horadam, Alwyn F.
1
1993
Negative order Genocchi polynomials. Zbl 0749.11020
Horadam, Alwyn F.
5
1992
Generation of Genocchi polynomials of first order by recurrence relations. Zbl 0770.11015
Horadam, Alwyn F.
4
1992
Derivative sequences of Fibonacci and Lucas polynomials. Zbl 0744.11013
Filipponi, Piero; Horadam, Alwyn F.
23
1991
Genocchi polynomials. Zbl 0749.11019
Horadam, Alwyn F.
14
1991
Generalized staggered sums. Zbl 0723.11011
Shannon, A. G.; Horadam, Alwyn F.
1
1991
Cholesky algorithm matrices of Fibonacci type and properties of generalized sequences. Zbl 0734.11015
Horadam, Alwyn F.; Filipponi, Piero
1
1991
Third-order diagonal functions of Pell polynomials. Zbl 0688.10008
Mahon, Brother J. M.; Horadam, Alwyn F.
1
1990
Falling factorial polynomials of generalized Fibonacci type. Zbl 0724.11008
Horadam, Alwyn F.
1
1990
Jacobsthal and Pell curves. Zbl 0644.10014
Horadam, Alwyn F.
18
1988
Elliptic functions and Lambert series in the summation of reciprocals in certain recurrence-generated sequences. Zbl 0647.10014
Horadam, Alwyn F.
3
1988
Fibonacci and Lucas curves. Zbl 0644.10013
Horadam, Alwyn F.; Shannon, A. G.
2
1988
Generalized Gaussian Lucas primordial functions. Zbl 0639.10011
Pethe, S.; Horadam, Alwyn F.
1
1988
A matrix approach to certain identities. Zbl 0643.15004
Filipponi, Piero; Horadam, Alwyn F.
1
1988
Generalization of a result of Morgado. Zbl 0631.10005
Horadam, Alwyn F.
3
1987
Generalization of identities of Catalan and others. Zbl 0634.10012
Horadam, Alwyn F.; Shannon, A. G.
2
1987
Mixed Pell polynomials. Zbl 0633.10013
Horadam, Alwyn F.; Mahon, Brother J. M.
2
1987
Ordinary generating functions for Pell polynomials. Zbl 0609.10006
Mahon, Brother J. M.; Horadam, Alwyn F.
1
1987
Generalised Gaussian Fibonacci numbers. Zbl 0574.10019
Pethe, S.; Horadam, Alwyn F.
6
1986
Convolutions for Pell polynomials. Zbl 0592.10010
Horadam, Alwyn F.; Mahon, Brother J. M.
3
1986
Matrix and other summation techniques for Pell polynomials. Zbl 0603.10015
Mahon, Brother J. M.; Horadam, Alwyn F.
2
1986
Cyclotomy-generated polynomials of Fibonacci type. Zbl 0593.12007
Horadam, Alwyn F.; Shannon, A. G.
1
1986
Euclidean coordinates as generalized Fibonacci number products. Zbl 0603.10010
Horadam, Alwyn F.; Pethe, S.
1
1986
Fibonacci numbers and their applications. (Papers from the 1st International Conference on Fibonacci Numbers and their Applications, held at the University of Patras, Greece, August 27–31, 1984). Zbl 0582.00009
1
1986
Pell and Pell-Lucas polynomials. Zbl 0557.10011
Horadam, Alwyn F.; Mahon, Brother J. M.
77
1985
Gegenbauer polynomials revisited. Zbl 0589.10016
Horadam, Alwyn F.
7
1985
Inverse trigonometrical summation formulas involving Pell polynomials. Zbl 0572.10010
Mahon, Brother J. M.; Horadam, Alwyn F.
5
1985
Jacobsthal polynomials and a conjecture concerning Fibonacci-like matrices. Zbl 0573.10009
Bergum, G. E.; Bennett, Larry; Horadam, Alwyn F.; Moore, S. D.
2
1985
Zigzag polynomials. Zbl 0578.10015
Horadam, Alwyn F.
1
1985
Infinite classes of sequence-generated circles. Zbl 0542.10009
Shannon, A. G.; Horadam, A. F.; Bergum, Gerald E.
1
1984
Roots of recurrence-generated polynomials. Zbl 0488.10012
Horadam, A. F.; Horadam, E. M.
3
1982
Geometry of a generalized Simson’s formula. Zbl 0486.10013
Horadam, A. F.
1
1982
Polynomials associated with Gegenbauer polynomials. Zbl 0477.10013
Horadam, A. F.; Pethe, S.
9
1981
Extensions of a paper on diagonal functions. Zbl 0464.10005
Horadam, A. F.
1
1980
Chebyshev and Fermat polynomials for diagonal functions. Zbl 0419.10013
Horadam, A. F.
12
1979
Special recurrence relations associated with the sequence \(\{\omega_n(a,b;p,q)\}\). Zbl 0419.10012
Shannon, A. G.; Horadam, A. F.
4
1979
Wythoff pairs. Zbl 0387.10008
Horadam, A. F.
1
1978
Ward’s Staudt-Clausen problem. Zbl 0347.10010
Horadam, A. F.; Shannon, A. G.
2
1977
Some further identities for the generalized Fibonacci sequence \(\{ H_n \}\). Zbl 0296.10005
Walton, J. E.; Horadam, A. F.
3
1974
Oresme numbers. Zbl 0289.10007
Horadam, A. F.
2
1974
Generalized Fibonacci number triples. Zbl 0251.10014
Shannon, A. G.; Horadam, A. F.
4
1973
Some properties of third-order recurrence relations. Zbl 0233.10007
Shannon, A. G.; Horadam, A. F.
9
1972
Pell identities. Zbl 0219.10018
Horadam, A. F.
40
1971
Generating functions for powers of third order recurrence sequences. Zbl 0226.05008
Shannon, A. G.; Horadam, A. F.
1
1971
A guide to undergraduate projective geometry. Zbl 0217.18302
Horadam, A. F.
3
1970
Tschebyscheff and other functions associated with the sequence \(\{w_ n(a,b; p,q)\}\). Zbl 0182.37402
Horadam, A. F.
2
1969
Special properties of the sequence \(w_n(a,b; p,q)\). Zbl 0159.05504
Horadam, A. F.
16
1967
Basic properties of a certain generalized sequence of numbers. Zbl 0131.04103
Horadam, A. F.
103
1965
Generating functions for powers of a certain generalized sequence of numbers. Zbl 0131.04104
Horadam, A. F.
39
1965
Complex Fibonacci numbers and Fibonacci quaternions. Zbl 0122.29402
Horadam, A. F.
119
1963
A generalized Fibonacci sequence. Zbl 0113.26605
Horadam, A. F.
79
1961
Fibonacci number triples. Zbl 0122.29401
Horadam, A. F.
5
1961
Involutions associated with the Burkhardt configuration in [4]. Zbl 0088.37203
Horadam, A. F.
2
1959
Clifford groups in the plane. Zbl 0091.32902
Horadam, A. F.
2
1959
A locus in [8] invariant under a group of order 51840 \(\times\) 81. Zbl 0085.36003
Horadam, A. F.
3
1957
all cited Publications top 5 cited Publications
all top 5

Cited by 572 Authors

19 Koshy, Thomas
19 Szynal-Liana, Anetta
16 Bród, Dorota
15 Włoch, Iwona
14 Shannon, Anthony Greville
14 Soykan, Yüksel
12 Cerda-Morales, Gamaliel
12 Özkan, Engin
11 Catarino, Paula Maria Machado Cruz
9 Deveci, Ömür
9 Swamy, Sondekola Rudra
9 Tan, Elif
8 Boussayoud, Ali
8 Flaut, Cristina
8 Kızılateş, Can
8 Wanas, Abbas Kareem
7 Altinkaya, Şahsene
7 Falcon, Sergio
7 Goy, Taras P.
7 Halıcı, Serpil
7 Kilic, Emrah
7 Taşkara, Necati
7 Yalçin, Sibel
6 Adegoke, Kunle
6 Chu, Wenchang
6 Guo, Dongwei
6 Savin, Diana
6 Trojovský, Pavel
5 Aminikhah, Hossein
5 Bilgici, Göksal
5 Dasdemir, Ahmet
5 Flórez, Rigoberto
5 He, Tian-Xiao
5 Horadam, Alwyn Francis
5 Plaza, Ángel
5 Prodinger, Helmut
5 Shiue, Peter Jau-Shyong
5 Taghipour, Mehran
5 Ünal, Zafer
5 Uysal, Mine
4 Acikgoz, Mehmet
4 Akgül, Arzu
4 Aydın, Fügen Torunbalcı
4 Belbachir, Hacene
4 Bitim, Bahar Demirtürk
4 Boughaba, Souhila
4 Đorđević, Gospava B.
4 Frasin, Basem Aref
4 Gürses, Nurten
4 Keskin, Refik
4 Leung, Ho-Hon
4 Leyendekkers, Jean Valerie
4 Polatlı, Emrah
4 Saba, Nabiha
4 Sahin, Murat
4 Sailaja, Yerragunta
4 Srivastava, Hari Mohan
4 Tasci, Dursun
4 Taşdemir, Erkan
4 Uygun, Şükran
4 Wituła, Roman
4 Yazlik, Yasin
4 Yüce, Salim
3 Ait-Amrane, Lyes
3 Akkus, Ilker
3 Alves, Francisco Régis Vieira
3 Araci, Serkan
3 Atanassov, Krassimir Todorov
3 Behloul, Djilali
3 Birol, Furkan
3 da Fonseca, Carlos Martins
3 Fennessey, Eric J.
3 Frontczak, Robert
3 Göcen, Melih
3 Higuita, Robinson A.
3 İpek, Ahmet
3 İşbilir, Zehra
3 Jiang, Zhaolin
3 Kerada, Mohamed
3 Koruoglu, Ozden
3 Larcombe, Peter J.
3 Lu, Daqian
3 Luo, Qiuming
3 Magesh, Nanjundan
3 Mangueira, Milena Carolina dos Santos
3 Mukherjee, Antara
3 Ordokhani, Yadollah
3 Orhan, Halit
3 Rabago, Julius Fergy Tiongson
3 Razzaghi, Mohsen
3 Saygı, Elif
3 Shpakivskyi, Vitalii Stanislavovich
3 Şiar, Zafer
3 Taştan, Merve
3 Togbé, Alain
3 Tokeşer, Ümit
3 Vincenzi, Giovanni
3 Yağmur, Tülay
3 Yamini, Jagadeesan
3 Yilmaz, Nazmiye
...and 472 more Authors
all top 5

Cited in 171 Serials

31 Advances in Applied Clifford Algebras
24 Chaos, Solitons and Fractals
19 The Fibonacci Quarterly
18 Applied Mathematics and Computation
16 Integers
13 International Journal of Mathematical Education in Science and Technology
13 Advances in Difference Equations
13 Palestine Journal of Mathematics
12 Turkish Journal of Mathematics
11 Journal of Integer Sequences
11 Annales Mathematicae Silesianae
11 Asian-European Journal of Mathematics
10 International Journal of Advances in Applied Mathematics and Mechanics
9 Indian Journal of Pure & Applied Mathematics
8 Mathematical Methods in the Applied Sciences
8 Acta et Commentationes Universitatis Tartuensis de Mathematica
8 Afrika Matematika
7 Boletín de la Sociedad Matemática Mexicana. Third Series
7 Hacettepe Journal of Mathematics and Statistics
7 Electronic Journal of Mathematical Analysis and Applications EJMAA
6 Mathematica Slovaca
6 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
6 Mediterranean Journal of Mathematics
6 Acta Universitatis Sapientiae. Mathematica
5 Discrete Applied Mathematics
5 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
5 Journal of Discrete Mathematical Sciences & Cryptography
5 Proyecciones
4 Communications in Algebra
4 International Journal of Mathematics and Mathematical Sciences
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Tatra Mountains Mathematical Publications
4 Abstract and Applied Analysis
4 Honam Mathematical Journal
4 Communications in Nonlinear Science and Numerical Simulation
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Special Matrices
4 Journal of Function Spaces
3 Bulletin of the Australian Mathematical Society
3 Computers & Mathematics with Applications
3 Discrete Mathematics
3 Journal of Computational and Applied Mathematics
3 Linear Algebra and its Applications
3 The Journal of Analysis
3 Filomat
3 Novi Sad Journal of Mathematics
3 Mathematica Moravica
3 Applied Mathematics E-Notes
3 South East Asian Journal of Mathematics and Mathematical Sciences
3 Thai Journal of Mathematics
3 Open Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Mathematics of Computation
2 The Mathematical Intelligencer
2 Archivum Mathematicum
2 Mathematics and Computers in Simulation
2 European Journal of Combinatorics
2 Facta Universitatis. Series Mathematics and Informatics
2 Applied Mathematics Letters
2 Mathematica Bohemica
2 Computational and Applied Mathematics
2 Journal of the Egyptian Mathematical Society
2 Integral Transforms and Special Functions
2 Mathematical Problems in Engineering
2 Communications of the Korean Mathematical Society
2 Journal of the Australian Mathematical Society
2 Kragujevac Journal of Mathematics
2 Journal of Applied Mathematics
2 JP Journal of Algebra, Number Theory and Applications
2 Computational Methods and Function Theory
2 Sarajevo Journal of Mathematics
2 Applications and Applied Mathematics
2 Online Journal of Analytic Combinatorics
2 The College Mathematics Journal
2 Advances and Applications in Discrete Mathematics
2 Tbilisi Mathematical Journal
2 Discrete Mathematics, Algorithms and Applications
2 Commentationes Mathematicae
2 Journal of Applied Mathematics & Informatics
2 Azerbaijan Journal of Mathematics
2 Journal of Mathematical Extension
2 Iranian Journal of Mathematical Sciences and Informatics
2 Journal of Mahani Mathematical Research Center
2 Mathematical Sciences
2 Korean Journal of Mathematics
2 Electronic Research Archive
2 Trends in Computational and Applied Mathematics
1 American Mathematical Monthly
1 Journal of Mathematical Physics
1 The Mathematical Gazette
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Annals of the Institute of Statistical Mathematics
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Journal of Combinatorial Theory. Series A
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of Number Theory
1 Kyungpook Mathematical Journal
...and 71 more Serials
all top 5

Cited in 48 Fields

443 Number theory (11-XX)
98 Combinatorics (05-XX)
67 Linear and multilinear algebra; matrix theory (15-XX)
44 Functions of a complex variable (30-XX)
35 Special functions (33-XX)
29 Numerical analysis (65-XX)
15 Difference and functional equations (39-XX)
12 Ordinary differential equations (34-XX)
12 Partial differential equations (35-XX)
10 Group theory and generalizations (20-XX)
10 Real functions (26-XX)
10 Mathematics education (97-XX)
8 Integral equations (45-XX)
8 Information and communication theory, circuits (94-XX)
6 Sequences, series, summability (40-XX)
5 Approximations and expansions (41-XX)
5 Computer science (68-XX)
4 Statistics (62-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Nonassociative rings and algebras (17-XX)
3 Geometry (51-XX)
3 Probability theory and stochastic processes (60-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year