By using the monomiality principle and general results on Sheffer polynomial sets, the differential equation satisfied by several old and new polynomial sets is shown
Abstract In this paper, we present linear differential equations for the generating functions of the...
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomia...
We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ...
We show that the combination of the formalism underlying the principle of monomiality and of methods...
Attention is focused to particular families of Sheffer polynomials which are different from the clas...
17 pages, 14 ref.In this work we consider a given root of a family of n-degree polynomials as a one-...
This work is about theory of systems of polynomial equations. Its main purpose is to prove the Elimi...
AbstractWe bring a new proof for showing that an orthogonal polynomial sequence is classical if and ...
AbstractWe elaborate upon a new method of solving linear differential equations, of arbitrary order,...
AbstractFor any univariate polynomial with coefficients in a differential field of characteristic ze...
This thesis discusses the basic tools required to understand the new Galois theory that has been dev...
In this paper, we investigate special polynomial solutions of linear ordinary differential equations...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
The existence of real solutions to polynomial systems of implicit differential equations, differenti...
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
Abstract In this paper, we present linear differential equations for the generating functions of the...
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomia...
We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ...
We show that the combination of the formalism underlying the principle of monomiality and of methods...
Attention is focused to particular families of Sheffer polynomials which are different from the clas...
17 pages, 14 ref.In this work we consider a given root of a family of n-degree polynomials as a one-...
This work is about theory of systems of polynomial equations. Its main purpose is to prove the Elimi...
AbstractWe bring a new proof for showing that an orthogonal polynomial sequence is classical if and ...
AbstractWe elaborate upon a new method of solving linear differential equations, of arbitrary order,...
AbstractFor any univariate polynomial with coefficients in a differential field of characteristic ze...
This thesis discusses the basic tools required to understand the new Galois theory that has been dev...
In this paper, we investigate special polynomial solutions of linear ordinary differential equations...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
The existence of real solutions to polynomial systems of implicit differential equations, differenti...
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
Abstract In this paper, we present linear differential equations for the generating functions of the...
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomia...
We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ...
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