A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION
A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION
Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight <TEX>${\alpha}$</TEX> cf.[7]. By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight <TEX>${\alpha}$</TEX>. Also, we derive the q-extensions of zeta type functions with weight from the Mellin transformation …