The Umbral operator and the integration involving generalized Bessel-type functions

Kottakkaran Sooppy Nisar; Saiful Rahman Mondal; Praveen Agarwal; Mujahed Al-Dhaifallah

doi:10.1515/math-2015-0041

The Umbral operator and the integration involving generalized Bessel-type functions

Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Praveen Agarwal^*, Mujahed Al-Dhaifallah

^*Corresponding author for this work

Department of Control and Instrumentation Engineering

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

7 Scopus citations

Abstract

The main purpose of this paper is to introduce a class of new integrals involving generalized Bessel functions and generalized Struve functions by using operational method and umbral formalization of Ramanujan master theorem. Their connections with trigonometric functions with several distinct complex arguments are also presented.

Original language	English
Pages (from-to)	426-435
Number of pages	10
Journal	Open Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1515/math-2015-0041
State	Published - 7 Jul 2015

Bibliographical note

Publisher Copyright:
© Kottakkaran Sooppy Nisar et al. 2015.

Keywords

Generalized Bessel and Struve functions
Ramanujan master theorem
Umbral operators

ASJC Scopus subject areas

General Mathematics

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10.1515/math-2015-0041

Cite this

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title = "The Umbral operator and the integration involving generalized Bessel-type functions",

abstract = "The main purpose of this paper is to introduce a class of new integrals involving generalized Bessel functions and generalized Struve functions by using operational method and umbral formalization of Ramanujan master theorem. Their connections with trigonometric functions with several distinct complex arguments are also presented.",

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KW - Ramanujan master theorem

KW - Umbral operators

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The Umbral operator and the integration involving generalized Bessel-type functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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