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

Arjun K. Rathie, Richard B. Paris

Research output: Contribution to journal › Article

5 Citations (Scopus)
7 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 languageEnglish
Pages (from-to)161-164
Number of pages4
JournalApplied Mathematical Sciences
Volume3
Issue number4
Publication statusPublished - 2009

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Summation
Hypergeometric Series
Series
Theorem
Gauss
Unit

Cite this

Rathie, A. K., & Paris, R. B. (2009). A new proof of Watson's theorem for the series 3F2(1). Applied Mathematical Sciences, 3(4), 161-164.
Rathie, Arjun K. ; Paris, Richard B. / A new proof of Watson's theorem for the series 3F2(1). In: Applied Mathematical Sciences. 2009 ; Vol. 3, No. 4. pp. 161-164.
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Rathie, AK & Paris, RB 2009, 'A new proof of Watson's theorem for the series 3F2(1)', Applied Mathematical Sciences, vol. 3, no. 4, pp. 161-164.

A new proof of Watson's theorem for the series 3F2(1). / Rathie, Arjun K.; Paris, Richard B.

In: Applied Mathematical Sciences, Vol. 3, No. 4, 2009, p. 161-164.

Research output: Contribution to journal › Article

TY - JOUR

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

AU - Rathie, Arjun K.

AU - Paris, Richard 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

VL - 3

SP - 161

EP - 164

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1314-7552

IS - 4

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Rathie AK, Paris RB. A new proof of Watson's theorem for the series 3F2(1). Applied Mathematical Sciences. 2009;3(4):161-164.

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