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Analytic continuation of the multiple Daehee \(q\)-\(l\)-functions associated with Daehee numbers. (English) Zbl 1196.11157
Summary: We present a new generating function which is related to Daehee numbers. By using the Mellin transformation formula and the Cauchy theorem for this generating function, we define multiple Daehee \(q\)-\(l\)-functions and \(q\)-zeta functions We also give the values of this function at negative integers.

MSC:
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
11B68 Bernoulli and Euler numbers and polynomials
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
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