On the weighted q-Bernoulli numbers and polynomials

Abstract

In this paper we consider the weighted q-Bernoulli numbers and polynomials which are differnt type of Carlitz's q-Bernoulli numbers and polynomials. From these numbers and polynomials, we derive some interesting formulaes and identities.

9 pages

References in corpus (2)

• A New Generating Function of (q-) Bernstein Type Polynomials and their Interpolation Function
• Barnes type multiple q-zeta functions and q-Euler polynomials

Cited by in corpus (9)

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• Extended q-Dedekind-type Daehee-Changhee sums associated with Extended q-Euler polynomials
• Explicit Formulas involving q-Euler Numbers and Polynomials
• Identities involving q-Genocchi numbers and polynomials
• A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp
• p-adic interpolating function associated with modified Dirichlet's type of twisted q-euler numbers and polynomials with weight alpha
• A note on the modified q-Dedekind sums
• A note on the generalized q-Bernoulli measures with weight a
• q Analogue of p adic log gamma functions associated with modified q extension of Genocchi numbers with weight alpha and beta