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A q-linear analogue of the plane wave expansion

✍ Scribed by Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis


Book ID
120352485
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
223 KB
Volume
50
Category
Article
ISSN
0196-8858

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Multipole expansion of a plane wave
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A q-Analogue of Mahler Expansions, I
✍ Keith Conrad 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 285 KB

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