Generating functions of the (<Emphasis Type="Italic">h,q</Emphasis>) extension of twisted Euler polynomials and numbers |
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Authors: | I N Cangul H Ozden Y Simsek |
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Institution: | (1) Faculty of Arts and Science, Department of Mathematics, University of Uludag, Bursa, Turkey;(2) Faculty of Arts and Science, Department of Mathematics, University of Akdeniz, Antalya, Turkey |
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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 χ. By applying Mellin transformation and derivative operator
to these functions, we define twisted (h, q)-extension of zeta functions and l-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.
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Keywords: | and phrases" target="_blank"> and phrases p-adic Volkenborn integral twisted q-Euler numbers and polynomials zeta and l-functions |
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