Results 81 to 90 of about 1,331 (139)

On Multiple Generalizedw‐Genocchi Polynomials and Their Applications [PDF]

open access: yesMathematical Problems in Engineering, 2010
We define the multiple generalizedw‐Genocchi polynomials. By using fermionicp‐adic invariant integrals, we derive some identities on these generalizedw‐Genocchi polynomials, for example, fermionicp‐adic integral representation, Witt′s type formula, explicit formula, multiplication formula, and recurrence formula for thesew‐Genocchi polynomials.
openaire   +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 note on poly-Genocchi numbers and polynomials

open access: yesApplied Mathematical Sciences, 2014
In this paper, we introduce the poly-Genocchi numbers and polynomials and we give some identities of those polynomials related to the Stirling numbers of the second kind.
Taekyun Kim, Yu Seon Jang, Jong Jin Seo
openaire   +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

Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and 𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝.
Seog-Hoon Rim   +3 more
doaj   +1 more source

Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative. [PDF]

open access: yesComput Biol Med, 2022
Pandey P   +4 more
europepmc   +1 more source

Identities between polynomials related to Stirling and harmonic numbers

open access: yes, 2014
We consider two types of polynomials $F_n (x) = \sum_{\nu=1}^n \nu! S_2(n,\nu) x^\nu$ and $\hat{F}_n (x) = \sum_{\nu=1}^n \nu! S_2(n,\nu) H_\nu x^\nu$, where $S_2(n,\nu)$ are the Stirling numbers of the second kind and $H_\nu$ are the harmonic numbers ...
Kellner, Bernd C.
core  

On the Distribution of the q-Euler Polynomials and the q-Genocchi Polynomials of Higher Order

open access: yesJournal of Inequalities and Applications, 2009
In 2007 and 2008, Kim constructed the q-extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined by Kim.
doaj   +1 more source

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