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Summation formulae for -Watson type -series

✍ Scribed by Wei, Chuanan; Gong, Dianxuan; Li, Jianbo


Book ID
120335056
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
374 KB
Volume
313
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Generalized Watson's summation formula f
✍ StanisΕ‚aw Lewanowicz πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 415 KB

A summation formula is given for 3Fz(a,b,c; Β½(a + b +i+ 1),2c +j; 1) with fixed j and arbitrary i (i, jE71). This result generalizes the classical Watson's theorem which deals with the case i =j = 0. Extensions to the cases of 3F2(a, 1 + i + j -a, c; e, 1 + i + 2c -e; 1 ), and 3Fz(a, b, c; 1 + i +

Transformation and summation formulas fo
✍ J. Van der Jeugt; S.N. Pitre; K. Srinivasa Rao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 407 KB

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 hypergeometri