The $n$-th twisted Changhee polynomials and numbers

Seog-Hoon Rim; Jin-Woo Park; Sung-Soo Pyo; Jongkyum Kwon

doi:10.4134/BKMS.2015.52.3.741

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(3): 741-749

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.741

The $n$-th twisted Changhee polynomials and numbers

Seog-Hoon Rim, Jin-Woo Park, Sung-Soo Pyo, and Jongkyum Kwon

Kyungpook National University, Daegu University, Kyungpook National University, Kyungpook National University

Abstract

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Abstract

The Changhee polynomials and numbers are introduced in \cite{05}. Some interesting identities and properties of those polynomials are derived from umbral calculus (see \cite{05}). In this paper, we consider Witt-type formula for the $n$-th twisted Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to special polynomials.

Keywords: Euler numbers, Changhee numbers, twisted Changhee numbers

MSC numbers: 11S80, 11B68, 05A30