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Transformation and summation formulas for double hypergeometric series

✍ Scribed by J. Van der Jeugt; S.N. Pitre; K. Srinivasa Rao

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
407 KB
Volume
83
Category
Article
ISSN
0377-0427

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✦ Synopsis

A number of new transformation formulas for double hypergeometric series are presented. The series appearing here are the so-called Kamp~ de F6riet functions of type ,c'Β°:3;4(1 1) and Fl:Z;2tl 1). The transformation formulas relate such "1:1;2 \*' *0:2;2 \ ' double series to a single hypergeometric series of 4F3(1 ) type. By specializing certain parameters, a list of new summation formulas for v ~:2;2(1 1) series is obtained. The origin of the results comes from studying symmetries of the 9-j coefficient *0:2;2 ',*, appearing in quantum theory of angular momentum.

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