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Generating functions of the (h, q) extension of twisted Euler polynomials and numbers

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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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Authors and Affiliations

  1. Faculty of Arts and Science, Department of Mathematics, University of Uludag, Bursa, Turkey

    I. N. Cangul & H. Ozden

  2. Faculty of Arts and Science, Department of Mathematics, University of Akdeniz, Antalya, Turkey

    Y. Simsek

Authors
  1. I. N. Cangul
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  2. H. Ozden
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  3. Y. Simsek
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Correspondence to I. N. Cangul.

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Cangul, I.N., Ozden, H. & Simsek, Y. Generating functions of the (h, q) extension of twisted Euler polynomials and numbers. Acta Math Hung 120, 281–299 (2008). https://doi.org/10.1007/s10474-008-7139-1

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  • DOI: https://doi.org/10.1007/s10474-008-7139-1

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