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A new approach to q-genocchi numbers and their interpolation functions

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Cangül, İsmail Naci
Özden, Hacer

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Şimşek, Yılmaz

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Pergamon-Elsevier Science

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Abstract

The aim of this paper is to define generating functions of higher order q-Genocchi numbers by using a p-adic q-deformed fermionic integral on Z(p). We give Witt's type integral of these numbers. Furthermore we give the interpolation functions of these numbers.

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Bernoulli numbers, Euler numbers, Higher order twisted q-Genocchi numbers, Interpolation functions, P-adic q-deformed fermionic integral, Q-euler numbers, Q-bernoulli numbers, Adic q-integrals, Q)-bernoulli numbers, Twisted euler, Q-extension, L-series, Polynomials, Products, (H, Mathematics, Fermions, Function evaluation, Bernoulli numbers, Euler numbers, Generating functions, Higher order, Interpolation function, New approaches, Interpolation

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Cangül, İ. N. vd. (2009). "A new approach to q-genocchi numbers and their interpolation functions". Nonlinear Analysis-Theory Methods and Applications, 71(12), 793-799.

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