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On hypergeometric Bernoulli numbers and polynomials
Su Hu, Min-Soo Kim
In this note, we shall provide several properties of hypergeometric Bernoulli numbers and polynomials, including sums of products identity, differential equations and recurrence fo…
math.NT2014
Jackson's integral of multiple Hurwitz-Lerch zeta functions and multiple gamma functions
Su Hu, Daeyeoul Kim, Min-Soo Kim
Using the Jackson integral, we obtain the -integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma fu…