scholarly journals Degenerate polyexponential-Genocchi numbers and polynomials

2020 ◽  
Vol 22 (04) ◽  
pp. 381-391
Author(s):  
Waseem A. Khan ◽  
Aysha Khan ◽  
Idrees A. Khan
Keyword(s):  
Genocchi Numbers

scholarly journals Some New Identities on the -Genocchi Numbers and Polynomials with Weight

2011 ◽  
Vol 2011 ◽  
pp. 1-6
Author(s):  
Seog-Hoon Rim ◽  
Joohee Jeong
Keyword(s):  
Genocchi Numbers ◽  
New Type

We construct a new type of -Genocchi numbers and polynomials with weight . From these -Genocchi numbers and polynomials with weight , we establish some interesting identities and relations.

scholarly journals Combinatorics of k-shapes and Genocchi numbers

2011 ◽  
Vol DMTCS Proceedings vol. AO,... (Proceedings) ◽  
Author(s):  
Florent Hivert ◽  
Olivier Mallet
Keyword(s):  
Symmetric Functions ◽  
New Model ◽  
Work In Progress ◽  
Genocchi Numbers ◽  
Combinatorial Model ◽  
International Audience

International audience In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new features on the theory of Genocchi numbers. In particular, the natural q-analogue coming from the degree of symmetric functions seems to be unknown so far. Dans cet article, nous présentons un travail en cours sur un nouveau modèle combinatoire conjectural pour les nombres de Genocchi. Ce nouveau modèle est celui des k-formes irréductibles, qui repose sur de solides bases algébriques en lien avec la théorie des fonctions symétriques et qui conduit à des aspects apparemment nouveaux de la théorie des nombres de Genocchi. En particulier, le q-analogue naturel venant du degré des fonctions symétriques semble inconnu jusqu'ici.

scholarly journals A Note on Some Properties of the Weighted -Genocchi Numbers and Polynomials

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
L. C. Jang
Keyword(s):  
Genocchi Numbers

We consider the weighted -Genocchi numbers and polynomials. From the construction of the weighted -Genocchi numbers and polynomials, we investigate many interesting identities and relations satisfied by these new numbers and polynomials.

scholarly journals A q-analog of the Seidel generation of Genocchi numbers

2006 ◽  
Vol 27 (3) ◽  
pp. 364-381 ◽  
Author(s):  
Jiang Zeng ◽  
Jin Zhou
Keyword(s):  
Genocchi Numbers

scholarly journals Novel Identities for -Genocchi Numbers and Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Serkan Araci
Keyword(s):  
Bernstein Polynomials ◽  
Bernoulli Numbers ◽  
Genocchi Numbers

The essential aim of this paper is to introduce novel identities forq-Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related top-adic analogue of Bernstein polynomials. Also, we derive relations betweenq-Genocchi andq-Bernoulli numbers.

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