Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

Talha Usman; Mohd Aman; Owais Khan; Kottakkaran Sooppy Nisar; Serkan Araci; Talha Usman; Mohd Aman; Owais Khan; Kottakkaran Sooppy Nisar; Serkan Araci

doi:10.3934/math.2020280

AIMS Mathematics

2020, Volume 5, Issue 5: 4399-4411. doi: 10.3934/math.2020280

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Research article

Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

1.
Department of Mathematics, School of Basic and Applied Sciences, Lingaya’s Vidyapeeth, Faridabad-121002, Haryana, India
2.
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India
3.
Department of Mathematics, Integral University, Lucknow-226026, India
4.
Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia
5.
Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, TR-27410 Gaziantep, Turkey

Received: 15 October 2019 Accepted: 07 May 2020 Published: 11 May 2020
MSC : 05A10, 05A15, 33C45

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.
- Laguerre polynomials,
- partially degenerate Laguerre-Genocchi polynomials,
- summation formula,
- symmetric identities
Citation: Talha Usman, Mohd Aman, Owais Khan, Kottakkaran Sooppy Nisar, Serkan Araci. Construction of partially degenerate Laguerre-Genocchi polynomials with their applications[J]. AIMS Mathematics, 2020, 5(5): 4399-4411. doi: 10.3934/math.2020280

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Abstract

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.

References

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