Zeta functions interpolating the convolution of the Bernoulli polynomials
نویسندگان
چکیده
منابع مشابه
ON THE TWISTED q-ZETA FUNCTIONS AND q-BERNOULLI POLYNOMIALS
One purpose of this paper is to define the twisted q-Bernoulli numbers by using p-adic invariant integrals on Zp. Finally, we construct the twisted q-zeta function and q-L-series which interpolate the twisted q-Bernoulli numbers.
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By using q-Volkenborn integration and uniform differentiable on Zp, we construct p-adic q-zeta functions. These functions interpolate the qBernoulli numbers and polynomials. The value of p-adic q-zeta functions at negative integers are given explicitly. We also define new generating functions of q-Bernoulli numbers and polynomials. By using these functions, we prove analytic continuation of som...
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ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2018
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2018.1478822