Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function
Y Simsek - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
Journal of Mathematical Analysis and Applications, 2006•Elsevier
In this paper, by using q-Volkenborn integral, we construct new generating functions of the
new twisted (h, q)-Bernoulli polynomials and numbers. By applying the Mellin transformation
to these generating functions, we obtain integral representations of the new twisted (h, q)-
zeta function and twisted (h, q)-L-function, which interpolate the twisted (h, q)-Bernoulli
numbers and generalized twisted (h, q)-Bernoulli numbers at non-positive integers,
respectively. Furthermore, relation between twisted (h, q)-zeta function and twisted (h, q)-L …
new twisted (h, q)-Bernoulli polynomials and numbers. By applying the Mellin transformation
to these generating functions, we obtain integral representations of the new twisted (h, q)-
zeta function and twisted (h, q)-L-function, which interpolate the twisted (h, q)-Bernoulli
numbers and generalized twisted (h, q)-Bernoulli numbers at non-positive integers,
respectively. Furthermore, relation between twisted (h, q)-zeta function and twisted (h, q)-L …
In this paper, by using q-Volkenborn integral, we construct new generating functions of the new twisted (h,q)-Bernoulli polynomials and numbers. By applying the Mellin transformation to these generating functions, we obtain integral representations of the new twisted (h,q)-zeta function and twisted (h,q)-L-function, which interpolate the twisted (h,q)-Bernoulli numbers and generalized twisted (h,q)-Bernoulli numbers at non-positive integers, respectively. Furthermore, relation between twisted (h,q)-zeta function and twisted (h,q)-L-function are proved. Some new relations, related to twisted (h,q)-Bernoulli polynomials and numbers, are given.
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