An identity of Andrews and the Askey-Wilson integral

Zhi Guo Liu

doi:10.1007/s11139-008-9122-4

An identity of Andrews and the Askey-Wilson integral

Zhi Guo Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

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

11 Scopus citations

Abstract

Andrews (Adv. Math. 41:137-172, 1981) derived a four-variable q-series identity, which is an extension of the Ramanujan ₁ ψ ₁ summation. In this paper, we shall give a simple evaluation of the Askey-Wilson integral by using this identity.

Original language	English
Pages (from-to)	115-119
Number of pages	5
Journal	Ramanujan Journal
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s11139-008-9122-4
State	Published - May 2009

Keywords

Andrews' identity
Askey-Wilson integral
Q-series
Ramanujan ψ summation

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10.1007/s11139-008-9122-4

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title = "An identity of Andrews and the Askey-Wilson integral",

abstract = "Andrews (Adv. Math. 41:137-172, 1981) derived a four-variable q-series identity, which is an extension of the Ramanujan 1 ψ 1 summation. In this paper, we shall give a simple evaluation of the Askey-Wilson integral by using this identity.",

keywords = "Andrews' identity, Askey-Wilson integral, Q-series, Ramanujan ψ summation",

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

year = "2009",

month = may,

doi = "10.1007/s11139-008-9122-4",

language = "英语",

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T1 - An identity of Andrews and the Askey-Wilson integral

AU - Liu, Zhi Guo

PY - 2009/5

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N2 - Andrews (Adv. Math. 41:137-172, 1981) derived a four-variable q-series identity, which is an extension of the Ramanujan 1 ψ 1 summation. In this paper, we shall give a simple evaluation of the Askey-Wilson integral by using this identity.

AB - Andrews (Adv. Math. 41:137-172, 1981) derived a four-variable q-series identity, which is an extension of the Ramanujan 1 ψ 1 summation. In this paper, we shall give a simple evaluation of the Askey-Wilson integral by using this identity.

KW - Andrews' identity

KW - Askey-Wilson integral

KW - Q-series

KW - Ramanujan ψ summation

UR - https://www.scopus.com/pages/publications/67349216208

U2 - 10.1007/s11139-008-9122-4

DO - 10.1007/s11139-008-9122-4

M3 - 文章

AN - SCOPUS:67349216208

SN - 1382-4090

VL - 19

SP - 115

EP - 119

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 1

ER -

An identity of Andrews and the Askey-Wilson integral

Abstract

Keywords

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