Results 71 to 80 of about 444,557 (182)

Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials

open access: yesAdvances in Difference Equations, 2020
The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles   +3 more
doaj   +1 more source

On parametric types of Apostol Bernoulli-Fibonacci, Apostol Euler-Fibonacci, and Apostol Genocchi-Fibonacci polynomials via Golden calculus

open access: yesAIMS Mathematics, 2023
This paper aims to give generating functions for the new family of polynomials, which are called parametric types of the Apostol Bernoulli-Fibonacci, the Apostol Euler-Fibonacci, and the Apostol Genocchi-Fibonacci polynomials by using Golden calculus ...
Can Kızılateş , Halit Öztürk
doaj   +1 more source

On the Barnes' Type Related to Multiple Genocchi Polynomials on

open access: yesAbstract and Applied Analysis, 2012
Using fermionic -adic invariant integral on , we construct the Barnes' type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Genocchi numbers and polynomials.
J. Y. Kang   +3 more
doaj   +1 more source

Certain properties on Bell-based Apostol-type Frobenius-Genocchi polynomials of complex variable

open access: yesJournal of Mathematics and Computer Science
In this study, we introduce sine and cosine Bell-based Frobenius-type Genocchi polynomials, and by presenting several relations and applications, we analyze certain properties.
Ayed Al ´edamat   +3 more
semanticscholar   +1 more source

Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions

open access: yesNumerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.
ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta   +2 more
wiley   +1 more source

On Apostol-Type Hermite Degenerated Polynomials

open access: yesMathematics, 2023
This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Clemente Cesarano   +4 more
doaj   +1 more source

Some New Symmetric Identities for the q-Zeta Type Functions

open access: yes, 2013
The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan   +3 more
core   +1 more source

An extension of Apostol type of Hermite-Genocchi polynomials and their probabilistic representation

open access: yesFilomat, 2022
The main purpose of this paper is to introduce and investigate the various properties of a new generalization of Apostol Hermite-Genocchi polynomials. We derive many useful results involving new generalized Apostol Hermite-Genocchi polynomials.
B. El-Desouky, R. Gomaa, A. Magar
semanticscholar   +1 more source

Some Identities of the Twisted 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and 𝑞-Bernstein Polynomials with Weight 𝛼

open access: yesAbstract and Applied Analysis, 2011
Recently mathematicians have studied some interesting relations between 𝑞-Genocchi numbers, 𝑞-Euler numbers, polynomials, Bernstein polynomials, and 𝑞-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
doaj   +1 more source

Operational matrix based on Genocchi polynomials for solution of delay differential equations

open access: yesAin Shams Engineering Journal, 2018
In this paper, we present a new simple and effective algorithm for solving generalized Pantograph equations, delay differential equations with neutral terms and delay differential system with constant and variable coefficients.The new method is based on ...
Abdulnasir Isah, Chang Phang
doaj   +1 more source

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