Results 21 to 30 of about 444,557 (182)

Novel Identities for 𝑞-Genocchi Numbers and Polynomials [PDF]

Journal of Function Spaces and Applications, 2012
The essential aim of this paper is to introduce novel identities for q-Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related to p-adic analogue of Bernstein polynomials. Also,
Serkan Araci
doaj   +3 more sources

The forms of $ (q, h) $-difference equation and the roots structure of their solutions with degenerate quantum Genocchi polynomials

AIMS Mathematics
We construct a new type of Genocchi polynomials using degenerate quantum exponential functions and find various forms of $ (q, h) $-difference equations with these polynomials as solutions. This paper includes properties of the symmetric structures of $ (
Jung Yoog Kang , Cheon Seoung Ryoo
doaj   +2 more sources

Identities on the Bernoulli and Genocchi Numbers and Polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.
Seog-Hoon Rim, Joohee Jeong, Sun-Jung Lee   +2 more
doaj   +3 more sources

Analytic Continuation of weighted q-Genocchi numbers and polynomials

Communications of the Korean Mathematical Society, 2012
In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet, Araci, Serkan, Gursul, Aynur   +2 more
core   +3 more sources

Shifted genocchi polynomials operational matrix for solving fractional order stiff system [PDF]

, 2021
In this paper, we solve the fractional order stiff system using shifted Genocchi poly nomials operational matrix. Different than the well known Genocchi polynomials, we shift the interval from [0, 1] to [1, 2] and name it as shifted Genocchi polynomials.
Chang Phang, Chang Phang, Isah, Abdulnasir   +1 more
core   +1 more source

Memory in the iterative processes for nonlinear problems

Mathematical Methods in the Applied Sciences, Volume 46, Issue 4, Page 4145-4158, 15 March 2023., 2023
In this paper, we study different ways for introducing memory to a parametric family of optimal two‐step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by introducing memory in order to compare them. We also perform several numerical experiments to see how the methods behave.
Alicia Cordero, Neus Garrido, Juan R. Torregrosa, Paula Triguero‐Navarro   +3 more
wiley   +1 more source

Applications and Properties for Bivariate Bell‐Based Frobenius‐Type Eulerian Polynomials

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce sine and cosine Bell‐based Frobenius‐type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and ...
Waseem Ahmad Khan, Maryam Salem Alatawi, Ugur Duran, Sarfraz Nawaz Malik   +3 more
wiley   +1 more source

Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In the 1970s, Gian‐Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim‐Kim, umbral calculus is generalized called λ‐umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee ...
Sang Jo Yun, Jin-Woo Park, Barbara Martinucci   +2 more
wiley   +1 more source

On Some Arithmetical Properties of the Genocchi Numbers and Polynomials

Advances in Difference Equations, 2008
We investigate the properties of the Genocchi functions and the Genocchi polynomials. We obtain the Fourier transform on the Genocchi function. We have the generating function of (h,q)-Genocchi polynomials.
Kyoung Ho Park, Young-Hee Kim
doaj   +2 more sources

Approximation Technique for Solving Linear Volterra Integro‐Differential Equations with Boundary Conditions

Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022
This paper presents a new technique for solving linear Volterra integro‐differential equations with boundary conditions. The method is based on the blending of the Chebyshev spectral methods. The application of the proposed method leads the Volterra integro‐differential equation to a system of algebraic equations that are easy to solve.
Mohamed E. A. Alnair, Ahmed A. Khidir, Yufeng Xu   +2 more
wiley   +1 more source