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Journal of Applied Mathematics and Computation

DOI：http://dx.doi.org/10.26855/jamc.2023.06.002

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Some Identities Involving the High-Order Degenerate Type 2 Daehee Polynomials

Pengfei Zhang1, Wuyungaowa2,*

Department of Mathematics, College of Sciences and Technology, Inner Mongolia University, Huhhot, China.

*Corresponding author: Wuyungaowa

Date: May 26,2023　Hits: 83

Abstract

Numerous polynomial variations and their extensions have been explored extensively and found applications in a variety of research fields. In 2019, T. Kim and D. Kim defined the type 2 Daehee polynomials by the generating function of the type 2 Bernoulli polynomials and express the central factorial numbers of the second kind in terms of type 2 Bernoulli and type 2 Daehee numbers of negative integral orders. In this paper, we define the generating function of the high-order degenerate type 2 Daehee polynomials, then we study the high-order degenerate type 2 Daehee numbers and polynomials by using the method of generating function and Riordon array. First, applying generating functions methods, we obtain some character involving the high-order degenerate type 2 Daehee polynomials. In addition, we establish some new equations and relations involving two classes of generalized Stirling numbers, generalized Lah numbers, high-order type 2 Bernoulli polynomials, the central factorial numbers of the second kind, generalized Harmonic numbers and so on.

References

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[16] Wuyungaowa, N. (2018). Some Identities Involving the Higher-Order Changhee Numbers and Polynomials. Journal of Applied Mathematics and Physics, 6(04), 647.


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Some Identities Involving the High-Order Degenerate Type 2 Daehee Polynomials

How to cite this paper: Pengfei Zhang, Wuyungaowa. (2023) Some Identities Involving the High-Order Degenerate Type 2 Daehee Polynomials. Journal of Applied Mathematics and Computation, 7(2), 211-223.

DOI: http://dx.doi.org/10.26855/jamc.2023.06.002