Abstract:In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utilizing some properties of ρ , q -numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic ρ , q -gamma function by means of the mentioned factorial function. We investigate several properties and relationships belonging to the foregoing gamma function, some of which are given for the case p = 2 . We also derive more representations of the p-adic ρ , q… Show more
In this paper, we establish a new approach of the p-adic analogue of Roman factorial, called p-adic Roman factorial. We define this new concept and demonstrate its properties and some properties of p-adic factorial.
In this paper, we establish a new approach of the p-adic analogue of Roman factorial, called p-adic Roman factorial. We define this new concept and demonstrate its properties and some properties of p-adic factorial.
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