Some families of hypergeometric polynomials and associated multiple integral representations. (English) Zbl 1258.33007
Summary: The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. Each of the integral representations, which are derived in this paper, may be viewed also as a linearization relationship for the product of two different members of the associated family of hypergeometric polynomials.
MSC:
33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
33C65 | Appell, Horn and Lauricella functions |
42C05 | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis |
Keywords:
hypergeometric polynomials; integral representations; gamma function; Eulerian beta integral; generalized Rice polynomials; generating functions; Srivastava polynomials; Lagrange polynomials; Lagrange-Hermite polynomials; Pochhammer symbol; Hermite-Kampé de Fériet polynomialsReferences:
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