An extension of the non-terminating 6φ5 summation and the askey-wilson polynomials

Zhi Guo Liu

doi:10.1080/10236190903530735

An extension of the non-terminating ₆φ₅ summation and the askey-wilson polynomials

Zhi Guo Liu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

44 引用（Scopus）

摘要

In this paper, we give an extension of the non-terminating ₆f₅ summation using the method of q-exponential operator and difference equation. This extended formula allows us to give a new generating function of the Askey-Wilson polynomials.

源语言	英语
页（从-至）	1401-1411
页数	11
期刊	Journal of Difference Equations and Applications
卷	17
期	10
DOI	https://doi.org/10.1080/10236190903530735
出版状态	已出版 - 10月 2011

访问文件

10.1080/10236190903530735

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{afb26fd0c9f440c7b47d57782087f77a,

title = "An extension of the non-terminating 6φ5 summation and the askey-wilson polynomials",

abstract = "In this paper, we give an extension of the non-terminating 6f5 summation using the method of q-exponential operator and difference equation. This extended formula allows us to give a new generating function of the Askey-Wilson polynomials.",

keywords = "Askey-wilson's polynomials, Q-derivative, Q-difference equation, Q-exponential operator, Q-series, Summation, φ",

author = "Liu, \{Zhi Guo\}",

year = "2011",

month = oct,

doi = "10.1080/10236190903530735",

language = "英语",

volume = "17",

pages = "1401--1411",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

publisher = "Taylor and Francis Ltd.",

number = "10",

}

TY - JOUR

T1 - An extension of the non-terminating 6φ5 summation and the askey-wilson polynomials

AU - Liu, Zhi Guo

PY - 2011/10

Y1 - 2011/10

N2 - In this paper, we give an extension of the non-terminating 6f5 summation using the method of q-exponential operator and difference equation. This extended formula allows us to give a new generating function of the Askey-Wilson polynomials.

AB - In this paper, we give an extension of the non-terminating 6f5 summation using the method of q-exponential operator and difference equation. This extended formula allows us to give a new generating function of the Askey-Wilson polynomials.

KW - Askey-wilson's polynomials

KW - Q-derivative

KW - Q-difference equation

KW - Q-exponential operator

KW - Q-series

KW - Summation

KW - φ

UR - https://www.scopus.com/pages/publications/80053013753

U2 - 10.1080/10236190903530735

DO - 10.1080/10236190903530735

M3 - 文章

AN - SCOPUS:80053013753

SN - 1023-6198

VL - 17

SP - 1401

EP - 1411

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 10

ER -

An extension of the non-terminating 6φ5 summation and the askey-wilson polynomials

摘要

访问文件

其它文件与链接

学术指纹

引用此

An extension of the non-terminating ₆φ₅ summation and the askey-wilson polynomials