A new proof of Watson's theorem for the series 3F2(1)

Arjun K. Rathie; R. B. Paris

A new proof of Watson's theorem for the series 3F2(1)

Arjun K. Rathie, R. B. Paris

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

5 Citations (Scopus)

82 Downloads (Pure)

Abstract

We give a new proof of the classical Watson theorem for the summation of a ₃F₂ hypergeometric series of unit argument. The proof relies on the two well-known Gauss summation theorems for the ₂F₁ function.

Original language	English
Pages (from-to)	161-164
Number of pages	4
Journal	Applied Mathematical Sciences
Volume	3
Issue number	4
Publication status	Published - 2009

Keywords

Watson’s theorem
Hypergeometric series

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Paris_ANewProofOfWatson'sTheorem_Published_2009Final published version, 61.5 KBLicence: CC BY

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title = "A new proof of Watson's theorem for the series 3F2(1)",

abstract = "We give a new proof of the classical Watson theorem for the summation of a 3F2 hypergeometric series of unit argument. The proof relies on the two well-known Gauss summation theorems for the 2F1 function.",

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EP - 164

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1314-7552

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A new proof of Watson's theorem for the series 3F2(1)

Abstract

Keywords

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