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ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS
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 Title & Authors
ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS
Simsek, Yilmaz;
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 Abstract
The aim of this work is to construct twisted q-L-series which interpolate twisted q-generalized Bernoulli numbers. By using generating function of q-Bernoulli numbers, twisted q-Bernoulli numbers and polynomials are defined. Some properties of this polynomials and numbers are described. The numbers is also given explicitly.
 Keywords
Dirichlet L-functions;twisted L-functions;Hurwitz zeta function;generalized Bernoulli numbers and polynomials;q-analogues of the Dirichlet series and q-L-series;q-Bernoulli numbers;
 Language
English
 Cited by
1.
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1.
Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function, Journal of Mathematical Analysis and Applications, 2006, 324, 2, 790  crossref(new windwow)
2.
A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers, Applied Mathematics and Computation, 2010, 216, 10, 2976  crossref(new windwow)
3.
q-Hardy–Berndt type sums associated with q-Genocchi type zeta and q-l-functions, Nonlinear Analysis: Theory, Methods & Applications, 2009, 71, 12, e377  crossref(new windwow)
4.
q-Dedekind type sums related to q-zeta function and basic L-series, Journal of Mathematical Analysis and Applications, 2006, 318, 1, 333  crossref(new windwow)
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On twisted q-Hurwitz zeta function and q-two-variable L-function, Applied Mathematics and Computation, 2007, 187, 1, 466  crossref(new windwow)
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