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Research Report MRR96-019
Dirichlet series related D analogues of the q gamma and q beta functions
Geoffrey B. Campbell
Abstract
Recent papers by the author have shown that new Dirichlet summations are
obtainable from known basic hypergeometric series identities. A natural
extension of these ideas is in the study of D-analogues for the
q-gamma and q-beta functions. This paper describes
the likely forms of the D-series analogues and gives
corresponding results for the classical q-gamma and q-beta functions.
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