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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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관련 논문AI추천
Note on q-Genocchi numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호$q$-Analogue of Euler-Barnes' numbers and polynomials김태균, 장이채대한수학회 · 대한수학회보2005 · 제42권 제3호A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALSMehmet Cenkci, Veli Kurt대한수학회 · 대한수학회보2010 · 제47권 제3호Some remarks on a q-analogue of Bernoulli numbersJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회지2002 · 제39권 제2호A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호Extentions of two q-series identitiesCaihuang Zhang, Zhizheng Zhang장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호
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