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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

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.

Original language	English
Pages (from-to)	1401-1411
Number of pages	11
Journal	Journal of Difference Equations and Applications
Volume	17
Issue number	10
DOIs	https://doi.org/10.1080/10236190903530735
State	Published - Oct 2011

Keywords

Askey-wilson's polynomials
Q-derivative
Q-difference equation
Q-exponential operator
Q-series
Summation
φ

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10.1080/10236190903530735

Cite this

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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.",

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

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KW - Askey-wilson's polynomials

KW - Q-derivative

KW - Q-difference equation

KW - Q-exponential operator

KW - Q-series

KW - Summation

KW - φ

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

Abstract

Keywords

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