Generalized \(q\)-Bernoulli polynomials generated by Jackson \(q\)-Bessel functions

DOI10.1007/s00025-022-01656-xzbMath1489.05010arXiv2201.10117OpenAlexW4221149828MaRDI QIDQ2136152

S. Z. H. Eweis, Zeinab S. I. Mansour

Publication date: 10 May 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10117

zbMATH Keywords

asymptotic expansions\(q\)-Bessel functionsCauchy residue theorem\(q\)-Bernoulli polynomials and numbers

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Asymptotic representations in the complex plane (30E15) Residues for several complex variables (32A27)

Related Items (1)

On some properties of the bibasic Humbert hypergeometric functions \(\Xi_1\) and \(\Xi_2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-fractional calculus and equations
• Basic Fourier series: convergence on and outside the \(q\)-linear grid
• Zeros of solutions of a functional equation
• Structure relations forq-polynomials and some applications
• A 𝑞-sampling theorem related to the 𝑞-Hankel transform
• q‐Bernoulli numbers and polynomials
• On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms
• The Basic Bessel Functions and Polynomials
• Generalised Bernoulli polynomials and series
• q-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• A unified calculus using the generalized Bernoulli polynomials

This page was built for publication: Generalized \(q\)-Bernoulli polynomials generated by Jackson \(q\)-Bessel functions