Construction of partially degenerate Laguerre-Genocchi polynomials with their applications
Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate Laguerre-Genocchi polynomials and investigate their properties and identitie...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020280/fulltext.html |
| _version_ | 1818760352201965568 |
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| author | Talha Usman Mohd Aman Owais Khan Kottakkaran Sooppy Nisar Serkan Araci |
| author_facet | Talha Usman Mohd Aman Owais Khan Kottakkaran Sooppy Nisar Serkan Araci |
| author_sort | Talha Usman |
| collection | DOAJ |
| description | Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate Laguerre-Genocchi polynomials and investigate their properties and identities. Furthermore, we introduce a generalized form of partially degenerate Laguerre-Genocchi polynomials and derive some interesting properties and identities. The results obtained are of general character and can be reduced to yield formulas and identities for relatively simple polynomials and numbers. |
| first_indexed | 2024-12-18T06:57:15Z |
| format | Article |
| id | doaj.art-5ee07a18a5d34863aac91e9b46117794 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-18T06:57:15Z |
| publishDate | 2020-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5ee07a18a5d34863aac91e9b461177942022-12-21T21:17:09ZengAIMS PressAIMS Mathematics2473-69882020-05-01554399441110.3934/math.2020280Construction of partially degenerate Laguerre-Genocchi polynomials with their applicationsTalha Usman0Mohd Aman1Owais Khan2Kottakkaran Sooppy Nisar3Serkan Araci41 Department of Mathematics, School of Basic and Applied Sciences, Lingaya’s Vidyapeeth, Faridabad-121002, Haryana, India2 Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India3 Department of Mathematics, Integral University, Lucknow-226026, India4 Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia5 Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyVarious applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate Laguerre-Genocchi polynomials and investigate their properties and identities. Furthermore, we introduce a generalized form of partially degenerate Laguerre-Genocchi polynomials and derive some interesting properties and identities. The results obtained are of general character and can be reduced to yield formulas and identities for relatively simple polynomials and numbers.https://www.aimspress.com/article/10.3934/math.2020280/fulltext.htmllaguerre polynomialspartially degenerate laguerre-genocchi polynomialssummation formulasymmetric identities |
| spellingShingle | Talha Usman Mohd Aman Owais Khan Kottakkaran Sooppy Nisar Serkan Araci Construction of partially degenerate Laguerre-Genocchi polynomials with their applications AIMS Mathematics laguerre polynomials partially degenerate laguerre-genocchi polynomials summation formula symmetric identities |
| title | Construction of partially degenerate Laguerre-Genocchi polynomials with their applications |
| title_full | Construction of partially degenerate Laguerre-Genocchi polynomials with their applications |
| title_fullStr | Construction of partially degenerate Laguerre-Genocchi polynomials with their applications |
| title_full_unstemmed | Construction of partially degenerate Laguerre-Genocchi polynomials with their applications |
| title_short | Construction of partially degenerate Laguerre-Genocchi polynomials with their applications |
| title_sort | construction of partially degenerate laguerre genocchi polynomials with their applications |
| topic | laguerre polynomials partially degenerate laguerre-genocchi polynomials summation formula symmetric identities |
| url | https://www.aimspress.com/article/10.3934/math.2020280/fulltext.html |
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