A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 1,  2012, pp.11-18
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.1.11
Title & Authors
A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION
Arac, Serkan; Ackgoz, Mehmet; Seo, Jong-Jin;

Abstract
Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight $\small{{\alpha}}$ cf.[7]. By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight $\small{{\alpha}}$. Also, we derive the q-extensions of zeta type functions with weight from the Mellin transformation of this generating function which interpolates the q-Genocchi polynomials with weight at negative integers.
Keywords
Genocchi numbers and polynomials;q-Genocchi numbers and polynomials;q-Genocchi numbers and polynomials with weight;
Language
English
Cited by
1.
A NOTE ON THE q-ANALOGUE OF KIM'S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α,Araci, Serkan;Acikgoz, Mehmet;Park, Kyoung Ho;

대한수학회보, 2013. vol.50. 2, pp.583-588
2.
ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS,Araci, Serkan;Acikgoz, Mehmet;Gursul, Aynur;

대한수학회논문집, 2013. vol.28. 3, pp.457-462
1.
ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS, Communications of the Korean Mathematical Society, 2013, 28, 3, 457
2.
A NOTE ON THE q-ANALOGUE OF KIM'S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α, Bulletin of the Korean Mathematical Society, 2013, 50, 2, 583
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