The main object of this paper is to investigate a new class of the generalized q-polyBernoulli numbers and polynomials with a parameter. We give explicit formulas and a recursive method… Click to show full abstract
The main object of this paper is to investigate a new class of the generalized q-polyBernoulli numbers and polynomials with a parameter. We give explicit formulas and a recursive method for the calculation of the q-poly-Bernoulli numbers and polynomials. As a consequence, we derive a method for the calculation of the special values at negative integral points of the Arakawa–Kaneko zeta function also known as generalized Hurwitz zeta function. 2010 Mathematics Subject Classification: 11B68; 11B73
               
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