Results 81 to 90 of about 1,314 (145)

A new generalization of Apostol-type Laguerre–Genocchi polynomials

Comptes 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, Usman, Talha, Choi, Junesang   +2 more
openaire   +2 more sources

Identities involving q-Genocchi numbers and polynomials

, 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, Acikgoz, Mehmet, Jolany, Hassan, He, Yuan   +3 more
openaire   +2 more sources

Bell-based Genocchi polynomials

New Trends in Mathematical Science, 2021
Ugur Duran, Mehmet Acikgoz
openaire   +1 more source

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

International 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, Jeong-Hee Jin, Eun-Jung Moon, Sun-Jung Lee   +3 more
doaj   +1 more source

Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

, 2015
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.
Acikgoz, Mehmet, Araci, Serkan, Bagdasaryan, Armen, He, Yuan   +3 more
core  

On the Hurwitz-type q-Genocchi zeta functions and q-Genocchi polynomials

Applied Mathematical Sciences, 2013
In [2], we introduced the q-Genocchi numbers and polynomials with weak weight α. In this paper, we investigate some properties which are related to q-Genocchi numbers G (α) n,q and polynomials G (α) n,q(x) with weak weight α.
openaire   +1 more source

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

Mathematical 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

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

Comput Biol Med, 2022
Pandey P, Gómez-Aguilar JF, Kaabar MKA, Siri Z, Mousa AAA.   +4 more
europepmc   +1 more source

Identities between polynomials related to Stirling and harmonic numbers

, 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  

Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media. [PDF]

Eur Phys J Plus, 2023
Mohan L, Prakash A.
europepmc   +1 more source