A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers

Details A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers

2011-12-26

arxiv.org/abs/1112.5902v2

Mathematics

Combinatorics

9 pages, submitted

Scientific paper

The purpose of this paper concerns to establish modified q-Genocchi numbers and polynomials with weight ({\alpha},{\beta}). In this paper we investigate special generalized q-Genocchi polynomials and we apply the method of generating function, which are exploited to derive further classes of q-Genocchi polynomials and develop q-Genocchi numbers and polynomials. By using the Laplace-Mellin transformation integral, we define q-Zeta function with weight ({\alpha},{\beta}) and by presenting a link between q-Zeta function with weight ({\alpha},{\beta}) and q-Genocchi numbers with weight ({\alpha},{\beta}) we obtain an interpolation formula for the q-Genocchi numbers and polynomials with weight ({\alpha},{\beta}). Also we derive distribution formula (Multiplication Theorem) and Witt's type formula for modified q-Genocchi numbers and polynomials with weight ({\alpha},{\beta}) which yield a deeper insight into the effectiveness of this type of generalizations for q=Genocchi numbers and polynomials. Our new generating function possess a number of interesting properties which we state in this paper.

Affiliated with

Also associated with

No associations

Rating

A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36816