Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials

Praveen Agarwal; Feng Qi; Mehar Chand; Shilpi Jain

doi:10.1016/j.cam.2016.09.034

Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials

Praveen Agarwal
, Feng Qi
, Mehar Chand
, Shilpi Jain

International College of Engineering
Tiangong University
Henan Polytechnic University
Guru Kashi University
Poornima College of Engineering

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

The aim of the paper is to establish certain new integrals involving the generalized Gauss hypergeometric function, generalized confluent hypergeometric function, and the Laguerre Polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the hypergeometric function, and the Laguerre Polynomials as their special cases.

Original language	English
Pages (from-to)	307-317
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	313
DOIs	https://doi.org/10.1016/j.cam.2016.09.034
State	Published - 15 Mar 2017
Externally published	Yes

Keywords

Finite integrals
Generalized Gauss hypergeometric function
Generalized confluent hypergeometric function
Laguerre polynomials

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10.1016/j.cam.2016.09.034

Cite this

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title = "Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials",

abstract = "The aim of the paper is to establish certain new integrals involving the generalized Gauss hypergeometric function, generalized confluent hypergeometric function, and the Laguerre Polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the hypergeometric function, and the Laguerre Polynomials as their special cases.",

keywords = "Finite integrals, Generalized Gauss hypergeometric function, Generalized confluent hypergeometric function, Laguerre polynomials",

author = "Praveen Agarwal and Feng Qi and Mehar Chand and Shilpi Jain",

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T1 - Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials

AU - Agarwal, Praveen

AU - Qi, Feng

AU - Chand, Mehar

AU - Jain, Shilpi

PY - 2017/3/15

Y1 - 2017/3/15

N2 - The aim of the paper is to establish certain new integrals involving the generalized Gauss hypergeometric function, generalized confluent hypergeometric function, and the Laguerre Polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the hypergeometric function, and the Laguerre Polynomials as their special cases.

AB - The aim of the paper is to establish certain new integrals involving the generalized Gauss hypergeometric function, generalized confluent hypergeometric function, and the Laguerre Polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the hypergeometric function, and the Laguerre Polynomials as their special cases.

KW - Finite integrals

KW - Generalized Gauss hypergeometric function

KW - Generalized confluent hypergeometric function

KW - Laguerre polynomials

UR - https://www.scopus.com/pages/publications/84991641340

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DO - 10.1016/j.cam.2016.09.034

M3 - Article

AN - SCOPUS:84991641340

SN - 0377-0427

VL - 313

SP - 307

EP - 317

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials

Abstract

Keywords

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