A q-Analogue of Mahler Expansions, I

✍ Scribed by Keith Conrad

• Book ID: 102563343
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 285 KB
• Volume: 153
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.1999.1890

✦ Synopsis

We examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, replacing binomial coefficient polynomials ( x n ) with a q-analogue ( x n ) 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 1 p, q of Koblitz relative to its q-Mahler expansion.