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

Prince Sattam Bin Abdulaziz University
King Faisal University
International College of Engineering
King Fahd University of Petroleum and Minerals

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	Central European Journal of Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1515/math-2015-0041
State	Published - 7 Jul 2015
Externally published	Yes

Keywords

Generalized Bessel and Struve functions
Ramanujan master theorem
Umbral operators

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10.1515/math-2015-0041

Cite this

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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.",

keywords = "Generalized Bessel and Struve functions, Ramanujan master theorem, Umbral operators",

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AU - Mondal, Saiful Rahman

AU - Agarwal, Praveen

AU - Al-Dhaifallah, Mujahed

N1 - Publisher Copyright: © Kottakkaran Sooppy Nisar et al. 2015.

PY - 2015/7/7

Y1 - 2015/7/7

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AB - 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.

KW - Generalized Bessel and Struve functions

KW - Ramanujan master theorem

KW - Umbral operators

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SP - 426

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

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Keywords

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