Generating functions of the (h, q) extension of twisted Euler polynomials and numbers
Date
2008-08
Authors
Şimşek, Yılmaz
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
By using p-adic q-deformed fermionic integral on Z(p), we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying Mellin transformation and derivative operator to these functions; we define twisted (h, q)-extension of zeta functions and 1-functions, which interpolate the twisted (h, q)-extension of Euler numbers at negative integers. Moreover, we construct the partially twisted (h, q)-zeta function. We give some relations between the partially twisted (h, q)-zeta function and twisted (h, q)-extension of Euler numbers.
Description
Keywords
Mathematics, P-adic Volkenborn integral, Twisted q-Euler numbers and polynomials, Zeta and l-functions, Adic q-integrals, Q-bernoulli polynomials, Q-zeta functions, Q)-bernoulli numbers, L-series, (H
Citation
Cangül, İ. N. vd. (2008). ''Generating functions of the (h, q) extension of twisted Euler polynomials and numbers''. Acta Mathematica Hungarica, 120(3), 281-299.