Found 287 Documents (Results 1–100)
Fibonacci identities via Fibonacci functions. (English) Zbl 07875569
Reviewer: Mahadi Ddamulira (Kampala)
MSC:
11B39
On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications. (English) Zbl 07870953
The structure of base phi expansions. (English) Zbl 1542.11014
Reviewer: Anton Shutov (Vladimir)
On the Hankel matrices of finite rank and generalized Fibonacci sequences. (English) Zbl 07837712
Reviewer: Uğur Duran (İskenderun)
Solving Skolem’s problem for the \(k\)-generalized Fibonacci sequence with negative indices. (English) Zbl 1535.11027
Reviewer: Mahadi Ddamulira (Kampala)
Cryptography utilizing the affine-Hill cipher and extended generalized Fibonacci matrices. (English) Zbl 07883997
Generalizations of the Fibonacci sequence with zig-zag walks. (English) Zbl 1535.11023
Zeidan, Dia (ed.) et al., Mathematics and computation. IACMC 2022. Selected papers based on the presentations at the 7th international Arab conference on mathematics and computations, Zarqa, Jordan, May 11–13, 2022. Singapore: Springer. Springer Proc. Math. Stat. 418, 303-310 (2023).
MSC:
11B37
Lucas generalized numbers in Narayana’s cows sequence. (English) Zbl 1529.11059
Reviewer: Mahadi Ddamulira (Kampala)
The \(k\)-generalized Lucas numbers close to a power of 2. (English) Zbl 1533.11140
Reviewer: Clemens Fuchs (Salzburg)
On Horadam-Lucas sequence. (English) Zbl 1536.11031
Reviewer: Mahadi Ddamulira (Kampala)
MSC:
11B39
Simple formulations on circulant matrices with alternating Fibonacci. (English) Zbl 1518.15032
Reviewer: Carlos M. da Fonseca (Safat)
On recurrences in generalized arithmetic triangle. (English) Zbl 1519.11006
Reviewer: Uğur Duran (Iskenderun)
Fibonacci length and the generalized order \(k\)-Pell sequences of the 2-generator \(p\)-groups of nilpotency class 2. (English) Zbl 1512.20074
Reviewer: Anitha Thillaisundaram (Lund)
Generalized Lucas graphs. (English) Zbl 1524.05037
Upper bound on the solution to \(F_n^{(2\kappa)}=\pm F_m^{(2\kappa)}\) with negative subscripts. (English) Zbl 1525.11035
Fibonacci-Lucas-Pell-Jacobsthal relations. (English) Zbl 1524.11038
MSC:
11B39
Generalized Padovan sequences. (English) Zbl 1523.11030
MSC:
11B39
\(q\)-coefficient table of negative exponent polynomial with \(q\)-commuting variables. (English) Zbl 1518.11022
Binomial tribonacci sums. (English) Zbl 1513.11032
MSC:
11B39
On the location of roots of the characteristic polynomial of \((p, q)\)-distance Fibonacci sequences. (English) Zbl 1502.11030
Reviewer: Mohammad K. Azarian (Evansville)
Weak pseudoprimality associated with the generalized Lucas sequences. (English) Zbl 1496.11006
Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 53-75 (2022).
Several determinantal expressions of generalized Tribonacci polynomials and sequences. (English) Zbl 1510.11049
\(Q_1\) and \(Q_2\) matrix representations of generalized \(k\)-Fibonacci sequence. (English) Zbl 1499.11044
The generalized order \(k\)-Pell sequences in some special groups of nilpotency class 2. (English) Zbl 1492.11023
General solutions to systems of difference equations and some of their representations. (English) Zbl 1490.39012
Representation of integers by \(k\)-generalized Fibonacci sequences and applications in cryptography. (English) Zbl 1482.11020
An interesting generalized Fibonacci sequence: a two-by-two matrix representation. (English) Zbl 1488.11036
Duplications In the \(k\)-generalized Fibonacci sequences. (English) Zbl 1506.11029
Reviewer: Hayder Hashim (Kufa)
On a generalization of the Pell sequence. (English) Zbl 1499.11049
MSC:
11B39
Some higher-order identities for generalized bi-periodic Horadam sequences. (English) Zbl 1510.11053
MSC:
11B39
A note on congruence properties of the generalized bi-periodic Horadam sequence. (English) Zbl 1488.11050
On a Jacobsthal-like sequence associated with \(k\)-Jacobsthal-Lucas sequence. (English) Zbl 1504.11034
MSC:
11B39
On the zero-multiplicity of the \(k\)-generalized Fibonacci sequence. (English) Zbl 1464.11024
Reviewer: Mahadi Ddamulira (Kampala)
Extensions of an approach to generalized Fibonacci and Lucas numbers with binomial coefficients. (English) Zbl 1474.11055
Another Lucasnomial generalization of Wolstenholme’s congruence. (English) Zbl 1446.11005
Reviewer: Enzo Bonacci (Latina)
Identities involving partial derivatives of bivariate \(B\)-\(q\) Bonacci and \(B\)-\(q\) Lucas polynomials. (English) Zbl 1439.11043
On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers. (English) Zbl 1447.11025
The binomial transforms of the generalized \((s,t)\)-Jacobsthal matrix sequence. (English) Zbl 1469.15018
Properties of a set of incomplete sums of a series whose terms are elements of Fibonacci generalized sequence. (Ukrainian. English summary) Zbl 1463.11043
Generalized Pell sequences related to the extended generalized Hecke groups \({\overline{H}}_{3,q}\) and an application to the group \({\overline{H}}_{3,3}\). (English) Zbl 1423.20059
Generalized metallic means. (English) Zbl 1458.11033
Extension of the truncated bi-indexed weighted shifts, recursiveness and subnormality. (English) Zbl 07064109
A combinatorial approach for constructing non-monotonic solutions to the generalized Golomb recursion. (English) Zbl 1418.05023
Reviewer: Uğur Duran (Hatay)
Generalized Fibonacci operational collocation approach for fractional initial value problems. (English) Zbl 1411.11015
Some identities of the generalized Fibonacci and Lucas sequences. (English) Zbl 1428.11034
MSC:
11B39
Multivariable recursively generated weighted shifts and the 2-variable subnormal completion problem. (English) Zbl 07083935
Summation of reciprocals related to \(l\)-th power of GF-sequence. (English) Zbl 1408.11010
MSC:
11B39
On a Fibonacci-like sequence associated with \(k\)-Lucas sequence. (English) Zbl 1424.11054
MSC:
11B39
Average number of Zeckendorf integers. (English) Zbl 1444.11030
J. Number Theory 186, 452-472 (2018); corrigendum ibid. 217, 443-444 (2020).
MSC:
11B39
Generalized Lucas numbers of the form \(wx^{2}\) and \(wV_{m}x^{2}\). (English) Zbl 1430.11024
MSC:
11B39
On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 2. (English) Zbl 1437.11051
On a new improved unifying closed formula for all Fibonacci-type sequences and some applications. (English) Zbl 1423.11034
Laplace-Fibonacci transform by the solution of second order generalized difference equation. (English) Zbl 1377.39033
\(k\)-generalized Fibonacci numbers close to the form \(2^a + 3^b + 5^c\). (English) Zbl 1399.11048
Reviewer: László Szalay (Sopron)
MSC:
11B39
On the generalizations of Fibonacci identities. (English) Zbl 1407.11028
MSC:
11B39
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