A New q-Analogue of Bernoulli Polynomials Associated with p-Adic q-Integrals

الملخص EN

We will study a new q-analogue of Bernoulli polynomials associated with p-adic q-integrals.

Furthermore, we examine the Hurwitz-type q-zeta functions, replacing p-adic rational integers x with a q-analogue [x]q for a p-adic number q with |q−1|p<1, which interpolate q-analogue of Bernoulli polynomials.