## Found 6,823 Documents (Results 1–100)

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### The generalized bivariate Fibonacci and Lucas matrix polynomials. (English)Zbl 07552137

MSC:  11B39 15A24
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### BiGaussian Pell and Pell-Lucas polynomials. (English)Zbl 07552135

MSC:  11B39 11K31
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MSC:  11B39
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MSC:  11B39
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MSC:  11B39
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### Some special sums with squared Horadam numbers and generalized tribonacci numbers. (English)Zbl 07546722

MSC:  11B37 11B39
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### Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials. (English)Zbl 07545971

MSC:  11B39 11B83
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### Periodicity of the solutions of general system of rational difference equations related to Fibonacci numbers. (English)Zbl 07545939

MSC:  39A23 11B39
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### Max and min matrices with hyper-Fibonacci numbers. (English)Zbl 07545936

MSC:  15B36 11C20 11B39
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### Split complex bi-periodic Fibonacci and Lucas numbers. (English)Zbl 07545447

MSC:  11B39 17A45
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### Coincidence between $$k$$-Fibonacci numbers and products of two Fermat numbers. (English)Zbl 07543743

MSC:  11B39 11J86
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### Some combinatorial identities via $$k$$-order Fibonacci matrices. (English)Zbl 07541768

MSC:  15A23 11B39 05A10
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### Common terms of Tribonacci and Perrin sequences. (English)Zbl 07541748

MSC:  11B39 11J86
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### An exponential Diophantine equation involving the sum or difference of powers of two pell numbers. (English)Zbl 07541630

MSC:  11B39 11J86
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### Interlace polynomials of lollipop and tadpole graphs. (English)Zbl 07541362

MSC:  05C31 05C50 11B39
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### $$Q_1$$ and $$Q_2$$ matrix representations of generalized $$k$$-Fibonacci sequence. (English)Zbl 07540729

MSC:  11B39 11C20 15A24
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MSC:  11B39
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### On the period and the order of appearance of the sequence of Fibonacci polynomials modulo $$m$$. (English)Zbl 07539096

MSC:  11B39 11B50
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### Norm form equations and linear divisibility sequences. (English)Zbl 07538665

MSC:  11D57 11D25 11B39
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### Repdigits base $$b$$ as difference of two Fibonacci numbers. (English)Zbl 07537610

MSC:  11B39 11J86 11D61
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### Brousseau’s reciprocal sums involving balancing and Lucas-balancing numbers. (English)Zbl 07537307

MSC:  11B39 11B83
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### On Fibonacci numbers as sum of powers of two consecutive tribonacci numbers. (English)Zbl 07535765

MSC:  11Dxx 11B39 11J86
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### Some $$k$$-Fibonacci and $$k$$-Lucas identities by a matrix approach with applications. (English)Zbl 07534803

MSC:  11B37 11B39
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### Recursion formulas for Bernoulli numbers. (English)Zbl 07534778

MSC:  11B68 11B39 03D30
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### On the complex-type Catalan transform of the $$k$$-Fibonacci numbers. (English)Zbl 07534349

MSC:  11B39 05A15 05A10
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### Scaled Fibonacci- and Lucas-producing rational polynomials. (English)Zbl 07534322

MSC:  11B39 11C08
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### Convolutions of sequences with similar linear recurrence formulas. (English)Zbl 07534320

MSC:  11B39 05A15 05B45
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### Average of the Fibonacci numbers. (English)Zbl 07534315

MSC:  11B39 11B50 11A07
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### Factorization of the $$t$$-extension of the $$p$$-Fibonacci and the Pascal matrices. (English)Zbl 07533927

MSC:  15A36 11C20 11B39
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### On some new subclasses of bi-univalent functions defined by generalized bivariate Fibonacci polynomial. (English)Zbl 07532684

MSC:  30C45 05A15 11B39
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### Mersenne numbers which are products of two Pell numbers. (English)Zbl 07531928

MSC:  11B39 11J86 11D61
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### Gaussian Pentanacci numbers and polynomials. (English)Zbl 07527449

MSC:  11B37 11B39
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### An “esoteric” proof of Gelin-Cesàro identity. (English)Zbl 07525561

MSC:  00A05 11B39
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### On the properties of fibotomic polynomials. (English)Zbl 07518347

MSC:  11B39 12E10
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### Jacobsthal representation hybrinomials. (English)Zbl 07513962

MSC:  11B37 11B39
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### The infinite sums of reciprocals and the partial sums of Chebyshev polynomials. (English)Zbl 1485.11065

MSC:  11B83 11B37 11B39
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### The proof of a formula concerning the asymptotic behavior of the reciprocal sum of the square of multiple-angle Fibonacci numbers. (English)Zbl 07512176

MSC:  11B39 11B05
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### On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials. (English)Zbl 07510931

MSC:  11B39 11B65 26C10
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### On Fermat and Mersenne numbers expressible as product of two $$k$$-Fibonacci numbers. (English)Zbl 07510862

MSC:  11B39 11J86
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MSC:  11B39
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### Sums of finite products of Pell polynomials in terms of hypergeometric functions. (English)Zbl 07503416

MSC:  11B39 33C20 33C45
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### Perfect numbers and Fibonacci sequences (to appear). (English)Zbl 07503098

Singapore: World Scientific (ISBN 978-981-12-4407-0/hbk). 200 p. (2022).
MSC:  11-01 11B39
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### On the divisibility $$a! + b! | (a + b)!$$. (English)Zbl 07502114

MSC:  11B65 11B39 11C08
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### On the norms of circulant matrics with the Gaussian Pell numbers. (English)Zbl 07491419

MSC:  15A60 15B57 11B39
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### Subsequences and exact divisibility by the powers of the balancing numbers. (English)Zbl 07491397

MSC:  11B39 11B83
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MSC:  11B39
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### A note of 2-distance balancing numbers. (English)Zbl 07491355

MSC:  11B39 05A15
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### Fibonacci and Lucas numbers of factorials and factorials of Fibonacci and Lucas. (English)Zbl 07491344

MSC:  11B39 11D99
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MSC:  11B39
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### The generalized order $$k$$-Pell sequences in some special groups of nilpotency class 2. (English)Zbl 07488697

MSC:  11B39 20F05 20D60
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### $$k$$-Pell numbers as product of two repdigits. (English)Zbl 07488617

MSC:  11B39 11J86
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### Quantum calculus approach to the dual bicomplex Fibonacci and Lucas numbers. (English)Zbl 07487922

MSC:  11B39 05A15
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### On the intersection of $$k$$-Lucas sequences and some binary sequences. (English)Zbl 07479505

MSC:  11B39 11J86
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### On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences. (English)Zbl 1485.11026

MSC:  11B39 11D61
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### Primality tests, linear recurrent sequences and the Pell equation. (English)Zbl 07472669

MSC:  11Y11 11B39
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### The greatest common divisor of shifted Fibonacci numbers. (English)Zbl 07471084

MSC:  11B39 11B37
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### On a class of generalized Fermat equations of signature $$(2,2n,3)$$. (English)Zbl 07466547

MSC:  11D61 11B39
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### Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces. (English)Zbl 07453886

MSC:  14J27 11B39 14J29
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MSC:  11B39
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### Generalized commutative quaternions of the Fibonacci type. (English)Zbl 1479.11040

MSC:  11B39 11B83
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### Generalization of a theorem of Adegbindin, Luca and Togbé. (English)Zbl 1480.11024

MSC:  11B39 11J86
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### Generalised Fibonacci sequences constructed from balanced words. (English)Zbl 07419381

MSC:  11B37 11B39 11C20
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### Perrin numbers expressible as sums of two base $$b$$ repdigits. (English)Zbl 07552277

MSC:  11A25 11B39 11J86
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### The generalized Lucas hybrinomials with two variables. (English)Zbl 07545355

MSC:  11B39 11B37
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### Dual-complex generalized $$k$$-Horadam numbers. (English)Zbl 07544696

MSC:  11B39 05A15
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MSC:  11B39
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### Hybrid Leonardo numbers. (English)Zbl 07544051

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MSC:  11B37 11B39
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### Arithmetics of some sequences via 2-determinants. (English)Zbl 07540056

MSC:  11B75 11C20 11B39
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### A study on matrix sequence of adjusted Tribonacci-Lucas numbers. (English)Zbl 07540002

MSC:  11B39 11B83
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### Complete solutions of the simultaneous Pell equations $$(a^2+1)y^2-x^2 = y^2-bz^2 = 1$$. (English)Zbl 07536313

MSC:  11D25 11B37 11B39
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### General solutions to systems of difference equations and some of their representations. (English)Zbl 07534966

MSC:  39A20 11B39 11B83
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### A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers. (English)Zbl 07534894

MSC:  05E05 11B39
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### Fibonacci numbers which are products of two Jacobsthal numbers. (English)Zbl 07534885

MSC:  11B39 11D61 11J86
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### The limit of reciprocal sum of some subsequential Fibonacci numbers. (English)Zbl 07533432

MSC:  11B39 11Y55 40A05
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### Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds. (English)Zbl 07533398

MSC:  11B39 11B37 11A05
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