A note on a hypergeometric transformation formula due to Slater with an application

Y. S. Kim, A. K. Rathie, R. B. Paris

Research output: Contribution to journal › Article

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Abstract

In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one pair of parameters differing by unity expressed as a linear combination of two 3F2(1) series.
Original languageEnglish
Pages (from-to)217-223
Number of pages7
JournalMathematica Æterna
Volume5
Issue number1
Publication statusPublished - 2015

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Transformation Formula
Series
Linear Combination
Minor
Alternatives

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Kim, Y. S., Rathie, A. K., & Paris, R. B. (2015). A note on a hypergeometric transformation formula due to Slater with an application. Mathematica Æterna, 5(1), 217-223.
Kim, Y. S. ; Rathie, A. K. ; Paris, R. B. / A note on a hypergeometric transformation formula due to Slater with an application. In: Mathematica Æterna. 2015 ; Vol. 5, No. 1. pp. 217-223.
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Kim, YS, Rathie, AK & Paris, RB 2015, 'A note on a hypergeometric transformation formula due to Slater with an application', Mathematica Æterna, vol. 5, no. 1, pp. 217-223.

A note on a hypergeometric transformation formula due to Slater with an application. / Kim, Y. S.; Rathie, A. K.; Paris, R. B.

In: Mathematica Æterna, Vol. 5, No. 1, 2015, p. 217-223.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A note on a hypergeometric transformation formula due to Slater with an application

AU - Kim, Y. S.

AU - Rathie, A. K.

AU - Paris, R. B.

PY - 2015

Y1 - 2015

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AB - In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one pair of parameters differing by unity expressed as a linear combination of two 3F2(1) series.

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SP - 217

EP - 223

JO - Mathematica Æterna

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Kim YS, Rathie AK, Paris RB. A note on a hypergeometric transformation formula due to Slater with an application. Mathematica Æterna. 2015;5(1):217-223.

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