Results 51 to 60 of about 1,211 (149)
Abstract and Applied Analysis, 2011 Recently mathematicians have studied some interesting relations between š-Genocchi numbers, š-Euler numbers, polynomials, Bernstein polynomials, and š-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
doaj +1 more source
JacobianāFree Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously
Mathematical Methods in the Applied Sciences, Volume 48, Issue 5, Page 5718-5730, 30 March 2025.ABSTRACT This manuscript is devoted to a derivativeāfree parametric iterative step to obtain roots simultaneously for both nonlinear systems and equations. We prove that when it is added to an arbitrary scheme, it doubles the convergence order of the original procedure and defines a new algorithm that obtains several solutions simultaneously. Different
Alicia Cordero +2 more
wiley +1 more source
Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Among randomized numerical linear algebra strategies, soācalled 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 the multiple q-Genocchi and Euler numbers [PDF]
Russian Journal of Mathematical Physics, 2008 11 ...
openaire +2 more sources
On some sequences of polynomials generating the Genocchi numbers [PDF]
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020 Sequences of Genocchi numbers of the first and second kind are considered. For these numbers, an approach based on their representation using sequences of polynomials is developed. Based on this approach, for these numbers some identities generalizing the known identities are constructed.
openaire +2 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. +23 more
core +1 more source
Journal of Neurochemistry, Volume 168, Issue 9, Page 3076-3094, September 2024.This study investigated the effects of the GABAAR selective competitive antagonist gabazine on neural cell cultures. The cultures contained various ratios of neurons and astrocytes, examining the role of astrocytes in neuronal electrophysiology and biochemistry.
Annika Ahtiainen +5 more
wiley +1 more source
Further results on the euler and Genocchi numbers
Aequationes Mathematicae, 1994 The Genocchi number \(G_{2n}\) is defined by \(t + \sum_{n \geq 1} (- 1)^ nG_{2n} {t^{2n} \over(2n)!} = {2t \over e^ t+1}\). The median Genocchi number \(H_{2n+1}\) is defined by \(H_{2n+1} = (-1)^ ng_ n^{n+1}\) where \(g_ n^ k = g_ n^{k-1} + g_{n+1}^{k-1}\), \(g^ 0_{2n} = (-1)^ nG_{2n}\), \(g^ 0_{2n+1} = 0\).
Dumont, Dominique, Zeng, Jiang
openaire +2 more sources
On Multiple Interpolation Functions of the q-Genocchi Polynomials
Journal of Inequalities and Applications, 2010 Recently, many mathematicians have studied various kinds of the q-analogue of Genocchi numbers and polynomials. In the work (New approach to q-Euler, Genocchi numbers and their interpolation functions, “Advanced Studies in Contemporary ...
Sun-Jung Lee +3 more
doaj +1 more source
Some New Symmetric Identities for the q-Zeta Type Functions
, 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