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arxiv: 1212.2248 · v1 · pith:4KNS2WCVnew · submitted 2012-12-10 · 🧮 math.NT · math-ph· math.CO· math.MP

D-analogues of q-shifted factorial and the q-Kummer sum

classification 🧮 math.NT math-phmath.COmath.MP
keywords d-analogued-analoguesq-kummeralreadyanalogueauthorbailey-daumcoefficients
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Recently, the concept of a D-analogue was introduced by the author. This is a Dirichlet series analogue for the already known and well researched hypergeometric q-series. we consider the D-analogues of the q-binomial coefficients, and a D-analogue of the q-Kummer (Bailey-Daum) sum.

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