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

7 Citations (Scopus)

148 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

Access to Document

Paris_ANewProofOfWatson'sTheorem_Published_2009Final published version, 61.5 KBLicence: CC BY

Cite this

@article{0e8c5e48d5b54c20a53a04d6c884c33c,

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.",

author = "Rathie, \{Arjun K.\} and Paris, \{R. B.\}",

year = "2009",

language = "English",

volume = "3",

pages = "161--164",

journal = "Applied Mathematical Sciences",

issn = "1314-7552",

number = "4",

}

TY - JOUR

T1 - A new proof of Watson's theorem for the series 3F2(1)

AU - Rathie, Arjun K.

AU - Paris, R. B.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

M3 - Article

SN - 1314-7552

VL - 3

SP - 161

EP - 164

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 4

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this