논문KCI 등재
On $q$-analgue of the twisted $L$-functions and\ $q$-twisted Bernoulli\ numbers
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Abstract
The aim of this work is to construct twisted $q$-$L$-series which interpolate twisted $q$-generalized Bernoulli numbers. By using generating function of $q$-Bernoulli numbers, twisted $q$-Bernoulli numbers and polynomials are defined. Some properties of this polynomials and numbers are described. The numbers $L_{q}(1-n,\chi,\xi)$ is also given explicitly.
관련 논문AI추천
On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals장이채대한수학회 · 대한수학회지2007 · 제44권 제1호Some remarks on a q-analogue of Bernoulli numbersJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회지2002 · 제39권 제2호The p-adic generalized twisted (h,q) -Euler-l-function and its applicationsM. Cenkci장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호The behavior of the twisted $p$-adic $(h,q)$-$L$-functions at $s=0$Yilmaz Simsek대한수학회 · 대한수학회지2007 · 제44권 제4호$q$-Analogue of Euler-Barnes' numbers and polynomials김태균, 장이채대한수학회 · 대한수학회보2005 · 제42권 제3호A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호
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