Some properties of a family of incomplete hypergeometric functions. (English) Zbl 1279.33006
Summary: Recently, Srivastava et al. introduced and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. Our principal objective is to investigate several further properties of these incomplete hypergeometric functions and some general classes of incomplete hypergeometric polynomials associated with them. Various (known or new) special cases and consequences of the results presented are also considered.
MSC:
| 33C05 | Classical hypergeometric functions, \({}_2F_1\) |
| 33B15 | Gamma, beta and polygamma functions |
| 33B20 | Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) |
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