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