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 languageEnglish
Pages (from-to)111-118
Number of pages8
JournalMathematical Communications
Volume19
Issue number2014
Publication statusPublished - 2014

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Hypergeometric Series
Integral Method
Euler
Symmetry
Integer

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Kim, Yong S. ; Rathie, Arjun K. ; Paris, Richard B. / On two Thomae-type transformations for hypergeometric series with integral parameter differences. In: Mathematical Communications. 2014 ; Vol. 19, No. 2014. pp. 111-118.
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On two Thomae-type transformations for hypergeometric series with integral parameter differences. / Kim, Yong S.; Rathie, Arjun K.; Paris, Richard B.

In: Mathematical Communications, Vol. 19, No. 2014, 2014, p. 111-118.

Research output: Contribution to journalArticle

TY - JOUR

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

VL - 19

SP - 111

EP - 118

JO - Mathematical Communications

JF - Mathematical Communications

SN - 1848-8013

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