Construction of Type 2 Poly-Changhee Polynomials and Its Applications

Author:

Muhiuddin Ghulam1ORCID,Khan Waseem Ahmad2ORCID,Younis Jihad3ORCID

Affiliation:

1. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

2. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

3. Department of Mathematics, Aden University, P.O. Box, Khormaksar 6014, Yemen

Abstract

In this paper, we introduce type 2 poly-Changhee polynomials by using the polyexponential function. We derive some explicit expressions and identities for these polynomials, and we also prove some relationships between poly-Changhee polynomials and Stirling numbers of the first and second kind. Also, we introduce the unipoly-Changhee polynomials by employing unipoly function and give multifarious properties. Furthermore, we provide a correlation between the unipoly-Changhee polynomials and the classical Changhee polynomials.

Publisher

Hindawi Limited

Subject

General Mathematics

Reference22 articles.

1. Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials

2. A note on Carlitz’s type q-Changhee numbers and polynomials;D. V. Dolgy,2017

3. Higher-order Changhee numbers and polynomials;D. S. Kim,2013

4. Derivation of computational formulas for Changhee polynomials and their functional and differential equations

5. Poly-Bernoulli numbers

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