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...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-10-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/13/11/2013 |
_version_ | 1797508406786916352 |
---|---|
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. |
first_indexed | 2024-03-10T05:01:38Z |
format | Article |
id | doaj.art-ea6f99c2299f434cb19d57386a22dc33 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T05:01:38Z |
publishDate | 2021-10-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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 AT fredericayant certainfiniteintegralsrelatedtotheproductsofspecialfunctions AT suphawatasawasamrit certainfiniteintegralsrelatedtotheproductsofspecialfunctions AT jessadatariboon certainfiniteintegralsrelatedtotheproductsofspecialfunctions |