On two Thomae-type transformations for hypergeometric series with integral parameter differences

Yong S. Kim; Arjun K. Rathie; Richard B. Paris

On two Thomae-type transformations for hypergeometric series with integral parameter differences

Yong S. Kim, Arjun K. Rathie, Richard B. Paris

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Abstract

We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.

Original language	English
Pages (from-to)	111-118
Number of pages	8
Journal	Mathematical Communications
Volume	19
Issue number	2014
Publication status	Published - 2014

Keywords

Thomae transformations
Generalized hypergeometric series
Generalized Euler-type transformations

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Paris_OnTwoThomae-typeTransformationsForHypergeometricSeries_Published_2014Final published version, 113 KBLicence: CC BY-NC-ND

http://www.mathos.unios.hr/mc/index.php/mc/article/view/409Licence: CC BY-NC-ND

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title = "On two Thomae-type transformations for hypergeometric series with integral parameter differences",

abstract = "We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.",

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journal = "Mathematical Communications",

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T1 - On two Thomae-type transformations for hypergeometric series with integral parameter differences

AU - Kim, Yong S.

AU - Rathie, Arjun K.

AU - Paris, Richard B.

PY - 2014

Y1 - 2014

N2 - We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.

AB - We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.

M3 - Article

SN - 1848-8013

VL - 19

SP - 111

EP - 118

JO - Mathematical Communications

JF - Mathematical Communications

IS - 2014

ER -

On two Thomae-type transformations for hypergeometric series with integral parameter differences

Abstract

Keywords

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