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
A note on certain reducible cases of the generalized hypergeometric function
β Scribed by Rekha Panda
- Publisher
- Elsevier Science
- Year
- 1976
- Weight
- 220 KB
- Volume
- 79
- Category
- Article
- ISSN
- 1385-7258
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β¦ 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
π SIMILAR VOLUMES
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 β¦ p,q,s (Ξ± 1 ; A, B, Ξ») and β¦ + p,q,s (Ξ± 1 ; A, B, Ξ») of meromorphically multivalent functions of order Ξ» (0
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].
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