On p-adic gamma function related to q-Daehee polynomials and numbers

Relationships between Mahler Expansion and Higher Order q-Daehee polynomials

“…The approach given in this paper is general and can be made by using the di¤erent p-adic integral and choosing the appropriate polynomials and numbers. Some results derived in this paper reduce to the results in the paper [4].…”

A Generalization of $p$-Adic Factorial

“…In dynamic system and string theory, the p-adic gamma function has been well used. This function studied by [8], [9] and [10], to give some properties of polynomials. The function n!…”

“…The p-adic gamma function has been well used in dynamic systems and string theory. This function is studied by [4] and [7], to give some properties of polynomials. The function n!…”

“…The p-adic gamma function Γ p is a p-adic integer function analogous to the classical gamma function. In 1975, Morita defined Γ p explicitly by: Γ p (n) = (−1) n n−1 j=1,(p,j)=1 j There were several generalizations of the p-adic gamma function (see [1], [4] and [9]), one of which was introduced by Kaori Ota [9] in 1994. To study the generalized hypergeometric function, Ota defined the generalized p-adic gamma function Γ q with q = p t , t ∈ N * by the formula:…”