Certain Finite Integrals Related to the Products of Special Functions

The aim of this paper is to establish a theorem associated with the product of the Aleph-function, the multivariable Aleph-function, and the general class of polynomials. The results of this theorem are unified in nature and provide a very large number of analogous results (new or known) involving s...

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Main Authors: Dinesh Kumar, Frédéric Ayant, Suphawat Asawasamrit, Jessada Tariboon
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/11/2013
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author Dinesh Kumar
Frédéric Ayant
Suphawat Asawasamrit
Jessada Tariboon
author_facet Dinesh Kumar
Frédéric Ayant
Suphawat Asawasamrit
Jessada Tariboon
author_sort Dinesh Kumar
collection DOAJ
description The aim of this paper is to establish a theorem associated with the product of the Aleph-function, the multivariable Aleph-function, and the general class of polynomials. The results of this theorem are unified in nature and provide a very large number of analogous results (new or known) involving simpler special functions and polynomials (of one or several variables) as special cases. The derived results lead to significant applications in physics and engineering sciences.
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spelling doaj.art-ea6f99c2299f434cb19d57386a22dc332023-11-23T01:43:23ZengMDPI AGSymmetry2073-89942021-10-011311201310.3390/sym13112013Certain Finite Integrals Related to the Products of Special FunctionsDinesh Kumar0Frédéric Ayant1Suphawat Asawasamrit2Jessada Tariboon3Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University Jodhpur, Jodhpur 342304, IndiaCollége Jean L’herminier, Allée des Nymphéas, 83500 La Seyne-sur-Mer, FranceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandThe aim of this paper is to establish a theorem associated with the product of the Aleph-function, the multivariable Aleph-function, and the general class of polynomials. The results of this theorem are unified in nature and provide a very large number of analogous results (new or known) involving simpler special functions and polynomials (of one or several variables) as special cases. The derived results lead to significant applications in physics and engineering sciences.https://www.mdpi.com/2073-8994/13/11/2013Aleph-functionmultivariable Aleph-functiongeneral class of multivariable polynomialshypergeometric function
spellingShingle Dinesh Kumar
Frédéric Ayant
Suphawat Asawasamrit
Jessada Tariboon
Certain Finite Integrals Related to the Products of Special Functions
Symmetry
Aleph-function
multivariable Aleph-function
general class of multivariable polynomials
hypergeometric function
title Certain Finite Integrals Related to the Products of Special Functions
title_full Certain Finite Integrals Related to the Products of Special Functions
title_fullStr Certain Finite Integrals Related to the Products of Special Functions
title_full_unstemmed Certain Finite Integrals Related to the Products of Special Functions
title_short Certain Finite Integrals Related to the Products of Special Functions
title_sort certain finite integrals related to the products of special functions
topic Aleph-function
multivariable Aleph-function
general class of multivariable polynomials
hypergeometric function
url https://www.mdpi.com/2073-8994/13/11/2013
work_keys_str_mv AT dineshkumar certainfiniteintegralsrelatedtotheproductsofspecialfunctions
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AT jessadatariboon certainfiniteintegralsrelatedtotheproductsofspecialfunctions