Abstract

We examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, replacing binomial coefficient polynomials (xn) with a q-analogue (xn)q for a p-adic variable q with |q−1|p<1. Mahler expansions are recovered at q=1 and we consider the p-adic q-Gamma function Γp, q of Koblitz relative to its q-Mahler expansion.

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