On a transformation of a general hypergeometric series of four variables
β Scribed by M.A. Pathan
- Publisher
- Elsevier Science
- Year
- 1979
- Weight
- 169 KB
- Volume
- 82
- Category
- Article
- ISSN
- 1385-7258
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π SIMILAR VOLUMES
In this paper we obtain a new formula for hypergeometric series of two variables. The result is general in character and includes aa particular cases results given earlier by KARLSSON [S] and MINTON [7].
Summations over the positive integers n of the generalized hypergeometric expressions (\_+ 1)"pFp+ 1 [-n2x2] (X > 0) are derived in closed form. The specialization p = 0, for example, reduces to known results for Schl6milch series. In addition, we record the apparently not readily available sine and
We deduce in an elementary way representations for the Mellin transform of a product of Bessel functions OF, [ -a2x2] and generalized hypergeometric functions &,+, [ -b2n2] for a, b > 0. As a corollary we obtain a transformation formula for P+rFp[l] which was discovered by Wimp in 1987 by using Bail