Results 61 to 70 of about 847 (107)
Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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, 2006 The quantum integer $[n]_q$ is the polynomial $1 + q + q^2 + ... + q^{n-1}.$ Two sequences of polynomials $\mathcal{U} = \{u_n(q)\}_{n=1}^{\infty}$ and $\mathcal{V} = \{v_n(q)\}_{n=1}^{\infty}$ define a {\em linear addition rule} $\oplus$ on a sequence $\
Nathanson, Melvyn B.
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On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
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A note on some Diophantine equations
, 2017 Let k 3 be an odd integer. In this paper we investigate all positive integer solutions of the equations x4 kx2yCy2D A, x4 kx2yCy2D A.k2 4/; x4 .k2 4/y2D 4A; and x2 .k2 4/y4 D 4A with AD .k 2/: We show that if k 1.mod8/ and k2 4 be a square-free integer ...
Refik Keskin, M. Duman
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On the growth of multi-recurrences. [PDF]
Arch Math, 2022 Fuchs C, Heintze S.
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An Ap\'ery-like difference equation for Catalan's constant
, 2002 Applying Zeilberger's algorithm of creative telescoping to a family of certain very-well-poised hypergeometric series involving linear forms in Catalan's constant with rational coefficients, we obtain a second-order difference equation for these forms ...
Zudilin, Wadim
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Diophantine equations in separated variables and polynomial power sums. [PDF]
Mon Hefte Math, 2021 Fuchs C, Heintze S.
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On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
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The Positivity Set of a Recurrence Sequence
, 2005 We consider real sequences $(f_n)$ that satisfy a linear recurrence with constant coefficients. We show that the density of the positivity set of such a sequence always exists.
Bell, Jason P., Gerhold, Stefan
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Generalized Horadam Polynomials and Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S. +1 more
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