Generalized Mixed Type Bernoulli-Gegenbauer Polynomials

Some identities involving generalized Gegenbauer polynomials

An Integral Formula for Generalized Gegenbauer Polynomials and Jacobi Polynomials

Congruences for Generalized q-Bernoulli Polynomials

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 qextensions of the classes for generalized Bernoulli numbers and polynomials given by Fox 2000 , Gunaratne 1995 , an...

Generalized Binomial Expansions and Bernoulli Polynomials

In this paper we investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a ’shift by rank’ quasi-expansion based on ordered set partitions. As an application, we give a new proof of Dilcher’s ...

Sums of Products of Generalized Bernoulli Polynomials

In this paper, we investigate the zeta function