Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations

Shy-Der Lin; Shuoh-Jung Liu; Han-Chun Lu; Hari Mohan Srivastava

Czechoslovak Mathematical Journal (2013)

  • Volume: 63, Issue: 4, page 969-987
  • ISSN: 0011-4642

Abstract

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The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials of the first and second kinds. 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.

How to cite

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Lin, Shy-Der, et al. "Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations." Czechoslovak Mathematical Journal 63.4 (2013): 969-987. <http://eudml.org/doc/260769>.

@article{Lin2013,
abstract = {The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials of the first and second kinds. 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.},
author = {Lin, Shy-Der, Liu, Shuoh-Jung, Lu, Han-Chun, Srivastava, Hari Mohan},
journal = {Czechoslovak Mathematical Journal},
keywords = {hypergeometric function; hypergeometric polynomial; Srivastava polynomial; Bedient polynomial; generalized Bedient polynomial of the first and second kinds; multiple integral representation; Gamma function; Eulerian beta integral linearization relationship; Pochhammer symbol; shifted factorial; Bedient polynomials; hypergeometric polynomials; integral representation; product linearization},
language = {eng},
number = {4},
pages = {969-987},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations},
url = {http://eudml.org/doc/260769},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Lin, Shy-Der
AU - Liu, Shuoh-Jung
AU - Lu, Han-Chun
AU - Srivastava, Hari Mohan
TI - Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations
JO - Czechoslovak Mathematical Journal
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 4
SP - 969
EP - 987
AB - The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials of the first and second kinds. 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.
LA - eng
KW - hypergeometric function; hypergeometric polynomial; Srivastava polynomial; Bedient polynomial; generalized Bedient polynomial of the first and second kinds; multiple integral representation; Gamma function; Eulerian beta integral linearization relationship; Pochhammer symbol; shifted factorial; Bedient polynomials; hypergeometric polynomials; integral representation; product linearization
UR - http://eudml.org/doc/260769
ER -

References

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