Results 11 to 20 of about 1,314 (145)

Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials

Journal of Function Spaces, 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 ...
Jian Rong Loh, Chang Phang, Abdulnasir Isah   +2 more
doaj   +2 more sources

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

New Type of Degenerate Changhee–Genocchi Polynomials

Axioms, 2022
A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim.
Maryam Salem Alatawi, Waseem Ahmad Khan
doaj   +2 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

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

Interpolation function of the genocchi type polynomials

, 2010
The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Apostol T. M., Apostol T. M., Burak Kurt, Choi J., H. M. Srivastava, Jang L.-C., Jang L.-C., Jang L.-C., Kim T., Kim T., Kim T., Kim T., Kim T., Luo Q.-M., Luo Q.-M., Luo Q.-M., Luo Q.-M., Ozden H., Simsek Y., Srivastava H. M., Srivastava H. M., Srivastava H. M., Yilmaz Simsek, Zhang Z.-Z.   +23 more
core   +2 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

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
doaj   +2 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