Certain unified polynomials

DOI10.1080/10652469.2018.1534847zbMath1402.33003OpenAlexW2896350964MaRDI QIDQ4559335

Junesang Choi, M. Aman, Talha Usman, Nabiullah Khan

Publication date: 3 December 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2018.1534847

zbMATH Keywords

generating functionsdifferential equationGegenbauer polynomialsrecurrence relationsgeneralized hypergeometric series\(h(x)\)-Fibonacci polynomialsCatalan polynomials\(h(x)\)-Fibonacci-Hermite polynomialsa generalization of the Kampé de Fériet functionFibonacci polynomials and numberspell polynomials and numbersPell-Lucas polynomials and numbers

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

A unified family of multivariable Legendre poly-Genocchi polynomials ⋮ Evaluation of Apostol-Euler based poly Daehee polynomials ⋮ Unnamed Item ⋮ Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c ⋮ Some identities related to degenerate Stirling numbers of the second kind

Cites Work

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• On generalized Fibonacci and Lucas polynomials
• Operational rules and arbitrary order Hermite generating functions
• Generalized Bessel functions and generalized Hermite polynomials
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle

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