Results 51 to 60 of about 2,914,259 (200)
Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler Polynomials
International Journal of Mathematics and Mathematical Sciences, 2014 We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation.
Serkan Araci +2 more
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Triangularizing matrix polynomials
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taslaman, Leo +2 more
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Decomposable matrix polynomials
Linear Algebra and its Applications, 1993 Let \(L(z)=zI-A\), where \(A\) is an \(n\times n\) complex matrix. It is well known that \(\mathbb{C}^ n\) is the sum of subspaces of the form \(X(z_ 0)=\{x\in\mathbb{C}^ n| L(z)^{-1}x\) has singularity only at \(z_ 0\}\), where \(z_ 0\in\sigma(A)\).
Förster, K.-H., Nagy, B.
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Advances in Mathematical Physics, 2017 It is known that Genocchi polynomials have some advantages over classical orthogonal polynomials in approximating function, such as lesser terms and smaller coefficients of individual terms.
Jian Rong Loh +2 more
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A new numerical scheme for solving system of Volterra integro-differential equation
Alexandria Engineering Journal, 2018 In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of ...
Jian Rong Loh, Chang Phang
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties
AxiomsIn this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurrence ...
Ahmed Bakhet +4 more
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Some Properties of the (p,q)-Fibonacci and (p,q)-Lucas Polynomials
Journal of Applied Mathematics, 2012 Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials ...
GwangYeon Lee, Mustafa Asci
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On Polynomial and Polynomial Matrix Interpolation [PDF]
, 2002 The classical algorithms for computations with polynomials and polynomial matrices use elementary operations with their coefficients. The relative accuracy of such algorithms is relatively small and for polynomials of higher order and polynomial matrices of higher dimension the executing time grows very quickly.
Petr Hušek, Renata Pytelková
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MathematicsAdvancements in computing platform deployment have acted as both push and pull elements for the advancement of engineering design and scientific knowledge.
Luisa Carracciuolo, Valeria Mele
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