Results 21 to 30 of about 1,331 (139)
Degenerate Changhee-Genocchi numbers and polynomials [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study some properties of degenerate Changhee-Genocchi numbers and polynomials and give some new identities of these polynomials and numbers which are derived from the generating function. In particular, we provide interesting identities
Byung Moon Kim +3 more
doaj +2 more sources
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
International Journal of Analysis and Applications, 2017 In this paper, the author gives some new identities on Genocchi polynomials and Genocchi numbers.
Qing Zou
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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 +3 more
wiley +1 more source
Integral Formulae of Bernoulli and Genocchi Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Recently, some interesting and new identities are introduced in the work of Kim et al. (2012). From these identities, we derive some new and interesting integral formulae for Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +2 more
openaire +2 more sources
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 +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 +2 more
wiley +1 more source
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 +2 more
wiley +1 more source
Generalized Fubini Apostol‐Type Polynomials and Probabilistic Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The paper aims to introduce and investigate a new class of generalized Fubini‐type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials.
Rabab S. Gomaa +2 more
wiley +1 more source
A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties
Journal of Function Spaces, 2021 In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these ...
Waseem A. Khan +3 more
doaj +1 more source
A Specific Method for Solving Fractional Delay Differential Equation via Fraction Taylor’s Series
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 It is well known that the appearance of the delay in the fractional delay differential equation (FDDE) makes the convergence analysis very difficult. Dealing with the problem with the traditional reproducing kernel method (RKM) is very tricky. The feature of this paper is to gain a more credible approximate solution via fractional Taylor’s series (FTS).
Ming-Jing Du, Ahmed Salem
wiley +1 more source