Summation formulae for -Watson type -series
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 +
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