Results 91 to 100 of about 444,557 (182)

Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

open access: yesAIMS Mathematics, 2020
Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature.
Talha Usman   +4 more
doaj   +1 more source

HIGHER ORDER GENOCCHI, EULER POLYNOMIALS ASSOCIATED WITH q-BERNSTEIN TYPE POLYNOMIALS [PDF]

open access: yesHonam Mathematical Journal, 2011
The main aim of this paper is to give some relationships between q-Bernstein, higher order genocchi and Euler polynomials.
Serkan Arac, Dilek Erdal
openaire   +1 more source

On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials

open access: yesMathematics, 2020
In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli
Cheon Seoung Ryoo, Waseem A. Khan
doaj   +1 more source

Hermite polynomials related to Genocchi, Euler and Bernstein polynomials

open access: yes, 2012
The objective of this paper is to derive some interesting properties of Genocchi, Euler and Bernstein polynomials by means of the orthogonality of Hermite polynomials.
Araci, Serkan   +2 more
openaire   +2 more sources

An elliptic extension of the Genocchi polynomials

open access: yesFilomat, 2016
We define an elliptic extension of the Genocchi polynomials and obtain the sums of products for the elliptic Genocchi polynomials. The formulas of sums of products for the Genocchi polynomials are also derived.
Ji-Ke Ge, Qiu-Ming Luo
openaire   +2 more sources

q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp

open access: yesAbstract and Applied Analysis, 2008
The main purpose of this paper is to present a systemic study of some families of multiple Genocchi numbers and polynomials. In particular, by using the fermionic p-adic invariant integral on ℤp, we construct p-adic Genocchi numbers and polynomials of ...
Leechae Jang, Taekyun Kim
doaj   +1 more source

Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
The present paper deals with the various q-Genocchi numbers and polynomials. We define a new type of multiple generalized q-Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p-adic q-integral.
J. Y. Kang
doaj   +1 more source

A Study on the Fermionic 𝑝-Adic 𝑞-Integral Representation on ℤ𝑝 Associated with Weighted 𝑞-Bernstein and 𝑞-Genocchi Polynomials

open access: yesAbstract and Applied Analysis, 2011
We consider weighted 𝑞-Genocchi numbers and polynomials. We investigated some interesting properties of the weighted 𝑞-Genocchi numbers related to weighted 𝑞-Bernstein polynomials by using fermionic 𝑝-adic integrals on ℤ𝑝.
Serkan Araci, Dilek Erdal, Jong Jin Seo
doaj   +1 more source

A new generalization of Apostol-type Laguerre–Genocchi polynomials

open access: yesComptes Rendus. Mathématique, 2017
Many extensions and variants of the so-called Apostol-type polynomials have recently been investigated. Motivated mainly by those works and their usefulness, we aim to introduce a new class of Apostol-type Laguerre–Genocchi polynomials associated with the modified Milne–Thomson's polynomials introduced by Derre and Simsek and investigate its properties,
Khan, Nabiullah   +2 more
openaire   +2 more sources

Identities involving q-Genocchi numbers and polynomials

open access: yes, 2012
In this paper, we focus on the q-Genocchi numbers and polynomials. We shall introduce new identities of the q-Genocchi numbers and polynomials by using the fermionic p-adic integral on Zp which are very important in the study of Frobenius-Genocchi numbers and polynomials. Also, we give Cauchy-integral formula for the q-Genocchi polynomials and moreover
Araci, Serkan   +3 more
openaire   +2 more sources

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