A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ASSOCIATED WITH q-CHANGHEE NUMBERS

Waseem Ahmad Khan; Vijay Yadav

doi:10.56827/SEAJMMS.2023.1901.3

Waseem Ahmad Khan Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, SAUDI ARABIA
Vijay Yadav Department of Mathematics, SPDT College, Andheri (E), Mumbai, Maharashtra, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1901.3

Keywords: Catalan numbers, 1 2-Changhee numbers, q-Catalan numbers, q-analogue of 1 2-Changhee numbers, q-Euler numbers.

Abstract

In this paper, we study q-analogue of Catalan numbers and polynomials by using p-adic q-integral on Zp. We investigate some properties of these numbers and polynomials. In addition, we define q-analogue of 1 2-Changhee numbers by using p-adic q-integral on Zp and derive their explicit expressions and some identities involving them.