A hypergeometric hierarchy for the andrews evaluations

D. Stanton

doi:10.1023/A:1009784911098

A hypergeometric hierarchy for the andrews evaluations

D. Stanton

School of Mathematics

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

6 Scopus citations

Abstract

Several ₆F₅ (1) evaluations are given which generalize Andrews' ₅F₄ (1) evaluations. All such evaluations are shown to be equivalent to transformations for a ₄F₃(z). The methodology allows for higher evaluations, for example an ₈F₇(1) is given which specializes to over one hundred ₅F₄(1) results, including all of Andrews'.

Original language	English (US)
Pages (from-to)	499-509
Number of pages	11
Journal	Ramanujan Journal
Volume	2
Issue number	4
DOIs	https://doi.org/10.1023/A:1009784911098
State	Published - 1998

Bibliographical note

Funding Information:
This work was supported by NSF grant DMS-9400510.

Keywords

Hypergeometric series

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10.1023/A:1009784911098

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title = "A hypergeometric hierarchy for the andrews evaluations",

abstract = "Several 6F5 (1) evaluations are given which generalize Andrews' 5F4 (1) evaluations. All such evaluations are shown to be equivalent to transformations for a 4F3(z). The methodology allows for higher evaluations, for example an 8F7(1) is given which specializes to over one hundred 5F4(1) results, including all of Andrews'.",

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AB - Several 6F5 (1) evaluations are given which generalize Andrews' 5F4 (1) evaluations. All such evaluations are shown to be equivalent to transformations for a 4F3(z). The methodology allows for higher evaluations, for example an 8F7(1) is given which specializes to over one hundred 5F4(1) results, including all of Andrews'.

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A hypergeometric hierarchy for the andrews evaluations

Abstract

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