p-Adik Faktöriyel ve p-Adik Gama Fonksiyonunun Genelleştirilmesinin Bazı Özellikleri

Year 2025, Volume: 15 Issue: 1, 128 - 145, 01.07.2025

Rafik Belhadef , Nour Elhouda Sahali

https://doi.org/10.37094/adyujsci.1543333

Abstract

Project Number

C00L03UN180120180006

Some Properties of the Generalization of the p-Adic Factorial and the p-Adic Gamma Function

Abstract

In this paper, we introduce the concept of q-adic factorial, establishing several significant congruences and inequalities associated with this new function. For a good illustration, we provide some numerical examples. Furthermore, we prove several properties of the generalized p-adic gamma function Γ_q, along with identities and special values related to Γ_q. We also derive a representation of Γ_q via its Mahler expansion and establish relationships among the coefficients within this expansion.

Keywords

Mahler expansions , p-adic gamma function , p-adic factorial , p-adic number

Supporting Institution

Laboratory of Pure and Applied Mathematics, University of Jijel

Project Number

C00L03UN180120180006

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