𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on certain reducible cases of the generalized hypergeometric function

✍ Scribed by Rekha Panda


Publisher
Elsevier Science
Year
1976
Weight
220 KB
Volume
79
Category
Article
ISSN
1385-7258

No coin nor oath required. For personal study only.

✦ Synopsis


This note presents generalizations of certain reduction formulas for the hypergeometric function pF&) and for its basic analogue &Ds[z], considered recently by P. W. KARLSSON


πŸ“œ SIMILAR VOLUMES


Some special cases of the generalized hy
✍ E.D. Krupnikov; K.S. KΓΆlbig πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 564 KB

Some special cases of the generalized hypergeometric function q.~Fq with rational numbers as parameters are given in tabular form. These results complement existing tables. Some analytical aspects are discussed, and a derivation is given for those cases which correct existing table entries or replac

On certain classes of meromorphically mu
✍ M.K. Aouf; M.F. Yassen πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 804 KB

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the generalized hypergeometric function, we introduce two novel subclasses Ω p,q,s (Ξ± 1 ; A, B, Ξ») and Ω + p,q,s (Ξ± 1 ; A, B, Ξ») of meromorphically multivalent functions of order Ξ» (0

A note on hypergeometric functions of tw
✍ B.L Sharma πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science βš– 182 KB

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].

Certain classes of generating functions
✍ Whei-Ching C. Chan; Kung-Yu Chen; H.M. Srivastava πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 1018 KB

For a certain class of generalized hypergcometric polynomials, the authors first derive a general theorem on bilinear, bilateral, and mixed multilateral generating functions and then apply these generating functions in order to deduce the corresponding results for the classical Jacobi and Laguerre p