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^*

^*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

11 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	115-119
页数	5
期刊	Ramanujan Journal
卷	19
期	1
DOI	https://doi.org/10.1007/s11139-008-9122-4
出版状态	已出版 - 5月 2009

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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.",

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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

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SN - 1382-4090

VL - 19

SP - 115

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JO - Ramanujan Journal

JF - Ramanujan Journal

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An identity of Andrews and the Askey-Wilson integral

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