Some families of hypergeometric generating functions associated with multiple series transformations
β Scribed by Whei-Ching C. Chan; Kung-Yu Chen; H.M. Srivastava
- Book ID
- 108395713
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 309 KB
- Volume
- 144
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
## By applying a quadratic transformation for the Gauss hypergeometric function, the authors derive a family of generating relations for a general polynomial system. Several interesting consequences of the main result, involving various classes of hypergeometric polynomials, are considered. Furthe
We deal with a class of integral transformations whose kernels contain the Clausenian hypergeometric function 3 F 2 (a 1 ; a 2 ; a 3 ; b 1 ; b 2 ; z). These transforms are deΓΏned in terms of integrals with respect to their parameters. It involves as particular cases the familiar Olevskii and general
The object of this paper is to present a systematic introduction to (and several interesting applications of) a general result on generating functions (associated with the Stirling numbers of the second kind) for a fairly wide variety of special functions and polynomials in one, two, and more variab