Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods
A remarkably large of number of polynomials have been presented and studied. Among several important polynomials, Legendre polynomials, Gould-Hopper polynomials, and Sheffer polynomials have been intensively investigated. In this paper, we aim to incorporate the above-referred three polynomials to i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/12/2051 |
| _version_ | 1797545019470512128 |
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| author | Nabiullah Khan Mohd Aman Talha Usman Junesang Choi |
| author_facet | Nabiullah Khan Mohd Aman Talha Usman Junesang Choi |
| author_sort | Nabiullah Khan |
| collection | DOAJ |
| description | A remarkably large of number of polynomials have been presented and studied. Among several important polynomials, Legendre polynomials, Gould-Hopper polynomials, and Sheffer polynomials have been intensively investigated. In this paper, we aim to incorporate the above-referred three polynomials to introduce the Legendre-Gould Hopper-based Sheffer polynomials by modifying the classical generating function of the Sheffer polynomials. In addition, we investigate diverse properties and formulas for these newly introduced polynomials. |
| first_indexed | 2024-03-10T14:09:46Z |
| format | Article |
| id | doaj.art-71772a43cd244ac2bc71b4e813aee30b |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T14:09:46Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-71772a43cd244ac2bc71b4e813aee30b2023-11-21T00:17:00ZengMDPI AGSymmetry2073-89942020-12-011212205110.3390/sym12122051Legendre-Gould Hopper-Based Sheffer Polynomials and Operational MethodsNabiullah Khan0Mohd Aman1Talha Usman2Junesang Choi3Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, School of Basic and Applied Sciences, Lingaya’s Vidyapeeth, Faridabad 121002, Haryana, IndiaDepartment of Mathematics, Dongguk University, Gyeongju 38066, KoreaA remarkably large of number of polynomials have been presented and studied. Among several important polynomials, Legendre polynomials, Gould-Hopper polynomials, and Sheffer polynomials have been intensively investigated. In this paper, we aim to incorporate the above-referred three polynomials to introduce the Legendre-Gould Hopper-based Sheffer polynomials by modifying the classical generating function of the Sheffer polynomials. In addition, we investigate diverse properties and formulas for these newly introduced polynomials.https://www.mdpi.com/2073-8994/12/12/2051Gould-Hopper polynomialsLegendre polynomialsSheffer sequences with Appell sequences and associated sequencesLegendre-Gould Hopper-based Sheffer polynomialsQuasi-monomialsoperational techniques |
| spellingShingle | Nabiullah Khan Mohd Aman Talha Usman Junesang Choi Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods Symmetry Gould-Hopper polynomials Legendre polynomials Sheffer sequences with Appell sequences and associated sequences Legendre-Gould Hopper-based Sheffer polynomials Quasi-monomials operational techniques |
| title | Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods |
| title_full | Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods |
| title_fullStr | Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods |
| title_full_unstemmed | Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods |
| title_short | Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods |
| title_sort | legendre gould hopper based sheffer polynomials and operational methods |
| topic | Gould-Hopper polynomials Legendre polynomials Sheffer sequences with Appell sequences and associated sequences Legendre-Gould Hopper-based Sheffer polynomials Quasi-monomials operational techniques |
| url | https://www.mdpi.com/2073-8994/12/12/2051 |
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