Certain Integrals Involving Generalized Mittag-Leffler Functions

P. Agarwal; M. Chand; S. Jain

doi:10.1007/s40010-015-0209-1

Certain Integrals Involving Generalized Mittag-Leffler Functions

P. Agarwal
, M. Chand
, S. Jain

International College of Engineering
Singhania University
Poornima College of Engineering

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

35 Scopus citations

Abstract

In this paper, we aim to establish certain new integrals involving the generalized Mittag-Leffler functions which are associated with the Laguerre polynomials. All the results derived here are of general character and can yield a number of known and new results in the theory of Mittage-Leffler functions. Furthermore, we also established the expansion formulas for the generalized Mittag-Leffler functions and the Laguerre polynomials.

Original language	English
Pages (from-to)	359-371
Number of pages	13
Journal	Proceedings of the National Academy of Sciences India Section A - Physical Sciences
Volume	85
Issue number	3
DOIs	https://doi.org/10.1007/s40010-015-0209-1
State	Published - 22 Sep 2015
Externally published	Yes

Keywords

Finite integrals
Generalized Mittag-Leffler functions
Laguerre polynomials

Access to Document

10.1007/s40010-015-0209-1

Cite this

@article{24aefa87970e46f79fd385f33817b639,

title = "Certain Integrals Involving Generalized Mittag-Leffler Functions",

abstract = "In this paper, we aim to establish certain new integrals involving the generalized Mittag-Leffler functions which are associated with the Laguerre polynomials. All the results derived here are of general character and can yield a number of known and new results in the theory of Mittage-Leffler functions. Furthermore, we also established the expansion formulas for the generalized Mittag-Leffler functions and the Laguerre polynomials.",

keywords = "Finite integrals, Generalized Mittag-Leffler functions, Laguerre polynomials",

author = "P. Agarwal and M. Chand and S. Jain",

note = "Publisher Copyright: {\textcopyright} 2015, The National Academy of Sciences, India.",

year = "2015",

month = sep,

day = "22",

doi = "10.1007/s40010-015-0209-1",

language = "English",

volume = "85",

pages = "359--371",

journal = "Proceedings of the National Academy of Sciences India Section A - Physical Sciences",

issn = "0369-8203",

publisher = "Springer India",

number = "3",

}

TY - JOUR

T1 - Certain Integrals Involving Generalized Mittag-Leffler Functions

AU - Agarwal, P.

AU - Chand, M.

AU - Jain, S.

PY - 2015/9/22

Y1 - 2015/9/22

N2 - In this paper, we aim to establish certain new integrals involving the generalized Mittag-Leffler functions which are associated with the Laguerre polynomials. All the results derived here are of general character and can yield a number of known and new results in the theory of Mittage-Leffler functions. Furthermore, we also established the expansion formulas for the generalized Mittag-Leffler functions and the Laguerre polynomials.

AB - In this paper, we aim to establish certain new integrals involving the generalized Mittag-Leffler functions which are associated with the Laguerre polynomials. All the results derived here are of general character and can yield a number of known and new results in the theory of Mittage-Leffler functions. Furthermore, we also established the expansion formulas for the generalized Mittag-Leffler functions and the Laguerre polynomials.

KW - Finite integrals

KW - Generalized Mittag-Leffler functions

KW - Laguerre polynomials

UR - https://www.scopus.com/pages/publications/84941916732

U2 - 10.1007/s40010-015-0209-1

DO - 10.1007/s40010-015-0209-1

M3 - Article

AN - SCOPUS:84941916732

SN - 0369-8203

VL - 85

SP - 359

EP - 371

JO - Proceedings of the National Academy of Sciences India Section A - Physical Sciences

JF - Proceedings of the National Academy of Sciences India Section A - Physical Sciences

IS - 3

ER -

Certain Integrals Involving Generalized Mittag-Leffler Functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this