Integrals involving laguerre type polynomials and bessel functions

Shilpi Jain; Junesang Choi; Praveen Agarwal; Kottakkaran Sooppy Nisar

doi:10.17654/MS100060965

Integrals involving laguerre type polynomials and bessel functions

Shilpi Jain
, Junesang Choi
, Praveen Agarwal
, Kottakkaran Sooppy Nisar

Poornima College of Engineering
Dongguk University
International College of Engineering
Prince Sattam Bin Abdulaziz University

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

4 Scopus citations

Abstract

The object of this paper is to present a unified integral formula mainly involving four parameter Laguerre polynomials and the Bessel functions. We also show that the main result presented here can give a large number of (known and new) special cases.

Original language	English
Pages (from-to)	965-976
Number of pages	12
Journal	Far East Journal of Mathematical Sciences
Volume	100
Issue number	6
DOIs	https://doi.org/10.17654/MS100060965
State	Published - Sep 2016
Externally published	Yes

Keywords

Bessel functions of the first kind
H-function
Hankel transform
Konhauser polynomials of the second kind
Laguerre polynomials
Unified four parameter Laguerre polynomials

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10.17654/MS100060965

Cite this

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title = "Integrals involving laguerre type polynomials and bessel functions",

abstract = "The object of this paper is to present a unified integral formula mainly involving four parameter Laguerre polynomials and the Bessel functions. We also show that the main result presented here can give a large number of (known and new) special cases.",

keywords = "Bessel functions of the first kind, H-function, Hankel transform, Konhauser polynomials of the second kind, Laguerre polynomials, Unified four parameter Laguerre polynomials",

author = "Shilpi Jain and Junesang Choi and Praveen Agarwal and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2016 Pushpa Publishing House, Allahabad, India.",

year = "2016",

month = sep,

doi = "10.17654/MS100060965",

language = "English",

volume = "100",

pages = "965--976",

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T1 - Integrals involving laguerre type polynomials and bessel functions

AU - Jain, Shilpi

AU - Choi, Junesang

AU - Agarwal, Praveen

AU - Nisar, Kottakkaran Sooppy

PY - 2016/9

Y1 - 2016/9

N2 - The object of this paper is to present a unified integral formula mainly involving four parameter Laguerre polynomials and the Bessel functions. We also show that the main result presented here can give a large number of (known and new) special cases.

AB - The object of this paper is to present a unified integral formula mainly involving four parameter Laguerre polynomials and the Bessel functions. We also show that the main result presented here can give a large number of (known and new) special cases.

KW - Bessel functions of the first kind

KW - H-function

KW - Hankel transform

KW - Konhauser polynomials of the second kind

KW - Laguerre polynomials

KW - Unified four parameter Laguerre polynomials

UR - https://www.scopus.com/pages/publications/84988727207

U2 - 10.17654/MS100060965

DO - 10.17654/MS100060965

M3 - Article

AN - SCOPUS:84988727207

SN - 0972-0871

VL - 100

SP - 965

EP - 976

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

IS - 6

ER -

Integrals involving laguerre type polynomials and bessel functions

Abstract

Keywords

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