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http://dx.doi.org/10.4134/BKMS.2007.44.1.001

ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS  

Kim, Min-Soo (Department of Mathematics Kyungnam University)
Son, Jin-Woo (Department of Mathematics Kyungnam University)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.1, 2007 , pp. 1-12 More about this Journal
Abstract
In this paper, we consider the q-Volkenborn integral of uniformly differentiable functions on the p-adic integer ring. By using this integral, we obtain the generating functions of twisted q-generalized Bernoulli numbers and polynomials. We find some properties of these numbers and polynomials.
Keywords
q-Volkenborn integral; $I_q$-Fourier transforms;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 4  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
연도 인용수 순위
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