Remarks on Homogeneous Al-Salam and Carlitz Polynomials-Reference-Cited by-同舟云学术

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Remarks on Homogeneous Al-Salam and Carlitz Polynomials

Published:2014 Issue: Volume:2014 Page:1-12
ISSN:2314-4629
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Fang Jian-Ping¹

Affiliation:

1. School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, China

Abstract

Several multilinear generating functions of the homogeneous Al-Salam and Carlitz polynomials are derived fromq-operator. In addition, two interesting relationships of product of this kind of polynomials are obtained.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2014/523013.pdf

Reference25 articles.

1. Some Orthogonalq-Polynomials

2. Convolutions of Orthonormal Polynomials

3. Factorization method for difference equations of hypergeometric type on nonuniform lattices

4. Carlitz and the general 3φ2

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Review of q-Difference Equations for Al-Salam–Carlitz Polynomials and Applications to U(n + 1) Type Generating Functions and Ramanujan’s Integrals;Mathematics;2023-03-29

2. A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials;Advances in Difference Equations;2020-11-27

3. Above-Millijoule Optical Waveforms Compressible to Sub-fs Using Induced-Phase Modulation in a Neon-Filled Hollow-Core Fiber;Springer Proceedings in Physics;2015

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