Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Generalizations of two-index two-variable Hermite matrix polynomials
View through CrossRef
AbstractIn this paper, we introduce a new generalization of the Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems. An explicit representation and an expansion of the matrix exponential in a series of these matrix polynomials is obtained. Properties of Hermite matrix polynomials such as the recurrence formula permit an efficient computations of matrix functions are established. A new expansions of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed.
Title: Generalizations of two-index two-variable Hermite matrix polynomials
Description:
AbstractIn this paper, we introduce a new generalization of the Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems.
An explicit representation and an expansion of the matrix exponential in a series of these matrix polynomials is obtained.
Properties of Hermite matrix polynomials such as the recurrence formula permit an efficient computations of matrix functions are established.
A new expansions of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed.
Related Results
On λ-Changhee–Hermite polynomials
On λ-Changhee–Hermite polynomials
Abstract
In this paper, we introduce a new class of
λ-analogues of the Changhee–Hermite polynomials and
generalized Gould–Hopper–Appell type λ-Changhee polynomials,
...
Increased life expectancy of heart failure patients in a rural center by a multidisciplinary program
Increased life expectancy of heart failure patients in a rural center by a multidisciplinary program
Abstract
Funding Acknowledgements
Type of funding sources: None.
INTRODUCTION Patients with heart failure (HF)...
Hermite polynomial normal transformation for structural reliability analysis
Hermite polynomial normal transformation for structural reliability analysis
Purpose
Normal transformation is often required in structural reliability analysis to convert the non-normal random variables into independent standard normal variables. The existi...
Truncated-Exponential-Based Appell-Type Changhee Polynomials
Truncated-Exponential-Based Appell-Type Changhee Polynomials
The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known pol...
Matrix Subgridding and Its Effects in Dual Porosity Simulators
Matrix Subgridding and Its Effects in Dual Porosity Simulators
Abstract
Naturally fractured reservoirs are found throughout the world and contain significant amounts of oil reserves. The so-called dual porosity model is one o...
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and ...
Efficiency of Steamflooding in Naturally Fractured Reservoirs
Efficiency of Steamflooding in Naturally Fractured Reservoirs
Abstract
This study aims to identify the effective parameters on matrix heating and recovery, and the efficiencies of these processes while there is a continuous ...
Pencils of Semi-Infinite Matrices and Orthogonal Polynomials
Pencils of Semi-Infinite Matrices and Orthogonal Polynomials
Semi-infinite matrices, generalized eigenvalue problems, and orthogonal polynomials are closely related subjects. They connect different domains in mathematics—matrix theory, opera...