ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS

- Journal title : Communications of the Korean Mathematical Society
- Volume 28, Issue 3, 2013, pp.457-462
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2013.28.3.457

Title & Authors

ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS

Araci, Serkan; Acikgoz, Mehmet; Gursul, Aynur;

Araci, Serkan; Acikgoz, Mehmet; Gursul, Aynur;

Abstract

In the present paper, we analyse analytic continuation of weighted -Genocchi numbers and polynomials. A novel formula for weighted -Genocchi-zeta function in terms of nested series of is derived. Moreover, we introduce a novel concept of dynamics of the zeros of analytically continued weighted -Genocchi polynomials.

Keywords

Genocchi numbers and polynomials;q-Genocchi numbers and polynomials;weighted q-Genocchi numbers and polynomials;weighted q-Genocchi-zeta function;

Language

English

Cited by

References

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