Recommended by Andrea Laforgia In this paper, we give some further properties of p-adic q-L-function of two variables, which is recently constructed by Kim 2005 and Cenkci 2006. One of the applications of these properties yields general classes of congruences for generalized q-Bernoulli polynomials, which are q-extensions of the classes for generalized… (More)
The aim of this paper is to construct new Dedekind type sums. We construct generating functions of Barnes' type multiple Frobenius-Euler numbers and polynomials. By applying Mellin transformation to these functions, we define Barnes' type multiple l-functions, which interpolate Frobenius-Euler numbers at negative integers. By using generalizations of the… (More)
In this paper we use the Euler-Seidel matrix method to obtain some properties of geometric and exponential polynomials and numbers. Some new results are obtained and some known results are reproved.
The object of this paper is to give several properties and applications of the multiple p-adic q-L-function of two variables L (r) p,q (s, z, χ). The explicit formulas relating higher order q-Bernoulli polynomials, which involve sums of products of higher order q-zeta function and higher order Dirichlet q-L-function are given. The value of higher order… (More)
We investigate some algorithms that produce Bernoulli, Euler and Genocchi poly-nomials. We also give closed formulas for Bernoulli, Euler and Genocchi polynomials in terms of weighted Stirling numbers of the second kind, which are extensions of known formulas for Bernoulli, Euler and Genocchi numbers involving Stirling numbers of the second kind.
In this paper, using Gauss multiplication formula, a recurrence relation for Bernoulli numbers, generalizing Namias' results , is given.