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$q$-Extensions of Genocchi Numbers

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Abstract

In this paper $q$-extensions of Genocchi numbers are defined and several properties of these numbers are presented. Properties of $q$-Genocchi numbers and polynomials are used to construct $q$-extensions of $p$-adic measures which yield to obtain $p$-adic interpolation functions for $q$-Genocchi numbers. As an application, general systems of congruences, including Kummer-type congruences for $q$-Genocchi numbers are proved.

참고문헌 (19)

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