A New Changhee q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals

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Using non-archimedean q-integrals on Zp defined in [15, 16], we define a new Changhee q-Euler polynomials and numbers which are different from those of Kim [7] and Carlitz [2]. We define generating functions of multiple q-Euler numbers and polynomials. Furthermore we construct multivariate Hurwitz type zeta function which interpolates the multivariate q-Euler numbers or polynomials at negative integers.
8 pages

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Number Theory, 11B68, 11S80

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http://salesiana.dossiersoluciones.com/handle/123456789/119421

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611791
 http://arxiv.org/abs/math/0611791

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arXiv