Multiple integral representations for some families of hypergeometric and other polynomials

The main objective of this paper is to investigate several general families of hypergeometric and other 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 th...

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Bibliographic Details
Published in:Mathematical and computer modelling 2011-09, Vol.54 (5), p.1420-1427
Main Authors: Liu, Shuoh-Jung, Chyan, Chuan-Jen, Lu, Han-Chun, Srivastava, H.M.
Format: Article
Language:English
Subjects:
Eulerian beta integral
Exact sciences and technology
Gamma function
Hermite–Kampé de Fériet polynomials
Hypergeometric polynomials
Integral representations
Lagrange–Hermite polynomials
Linearization relationship
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Pochhammer symbol
Sciences and techniques of general use
Special functions
Srivastava polynomials
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Summary:The main objective of this paper is to investigate several general families of hypergeometric and other 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 and other polynomials.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.04.013