AbstractA factorization method is constructed for sequences of second-order linear difference equations in analogy with the factorization method for differential equations. Six factorization types are established and recursion relations are obtained for various classes of special functions, among which are the hypergeometric functions and their limits, and the classical polynomials of a discrete variable: Tchebycheff, Krawtchouk, Charlier, Meixner, and Hahn. It is shown that the factorization method is a disguised form of Lie algebra representation theory
We perform Lie analysis for a system of higher order difference equations with variable coefficients...
A group classification of invariant difference models, i.e. difference equations and meshes, is pres...
This book provides explicit representations of finite-dimensional simple Lie algebras, related parti...
AbstractA factorization method is constructed for sequences of second-order linear difference equati...
AbstractThe factorization method for systems of linear difference equations is shown to be related t...
AbstractWe apply general difference calculus in order to obtain solutions to the functional equation...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
Intended for researchers, numerical analysts, and graduate students in various fields of applied mat...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
The theory of prolongations of the generators of groups of point transformations to the grid point v...
Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonli...
AbstractIn this paper, we indicate necessary and sufficient conditions for factorization of the diff...
This article surveys the classical orthogonal polynomial systems of the Hahn class, which are soluti...
AbstractBy solving an infinite nonlinear system of q-difference equations one constructs a chain of ...
The discrete heat equation is worked out to illustrate the search of symmetries of difference equati...
We perform Lie analysis for a system of higher order difference equations with variable coefficients...
A group classification of invariant difference models, i.e. difference equations and meshes, is pres...
This book provides explicit representations of finite-dimensional simple Lie algebras, related parti...
AbstractA factorization method is constructed for sequences of second-order linear difference equati...
AbstractThe factorization method for systems of linear difference equations is shown to be related t...
AbstractWe apply general difference calculus in order to obtain solutions to the functional equation...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
Intended for researchers, numerical analysts, and graduate students in various fields of applied mat...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
The theory of prolongations of the generators of groups of point transformations to the grid point v...
Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonli...
AbstractIn this paper, we indicate necessary and sufficient conditions for factorization of the diff...
This article surveys the classical orthogonal polynomial systems of the Hahn class, which are soluti...
AbstractBy solving an infinite nonlinear system of q-difference equations one constructs a chain of ...
The discrete heat equation is worked out to illustrate the search of symmetries of difference equati...
We perform Lie analysis for a system of higher order difference equations with variable coefficients...
A group classification of invariant difference models, i.e. difference equations and meshes, is pres...
This book provides explicit representations of finite-dimensional simple Lie algebras, related parti...