Results 1 to 10 of about 1,211 (149)
A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim +3 more
doaj +2 more sources
A Note on the q-Genocchi Numbers and Polynomials [PDF]
Journal of Inequalities and Applications, 2007 We discuss new concept of the q-extension of Genocchi numbers and give some relations between q-Genocchi polynomials and q-Euler numbers.
Taekyun Kim
doaj +5 more sources
Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj +2 more sources
On Some Arithmetical Properties of the Genocchi Numbers and Polynomials [PDF]
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 +4 more sources
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
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
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in [0, 1].
Jian Rong Loh +3 more
wiley +1 more source
Veterinary Radiology &Ultrasound, Volume 63, Issue 1, Page 8-17, January/February 2022., 2022 Abstract Cardiac disease in guinea pigs has been reported in the literature; however, reference intervals for normal radiographic heart size obtained using objective measurement methods have not been provided for this species. The aim of this prospective, reference interval study was to describe cardiac dimensions in presumed healthy guinea pigs using ...
Margherita De Silva +6 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