Bull. Korean Math. Soc. 2007; 44(1): 1-12
Printed March 1, 2007
Copyright © The Korean Mathematical Society.
Min-Soo Kim and Jin-Woo Son
Kyungnam University, Kyungnam University
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
MSC numbers: 11E95, 11S80
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