A q-Analogue of Mahler Expansions, I

Author： Conrad K.  

Publisher： Academic Press

ISSN： 0001-8708

Source： Advances in Mathematics, Vol.153, Iss.2, 2000-08, pp. : 185-230

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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. Copyright 2000 Academic Press.

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