Article ID Journal Published Year Pages File Type
1709344 Applied Mathematics Letters 2008 6 Pages PDF
Abstract

In this work, by using a pp-adic qq-Volkenborn integral, we construct a new approach to generating functions of the (h,q)(h,q)-Euler numbers and polynomials attached to a Dirichlet character χχ. By applying the Mellin transformation and a derivative operator to these functions, we define (h,q)(h,q)-extensions of zeta functions and ll-functions, which interpolate (h,q)(h,q)-extensions of Euler numbers at negative integers.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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