Add to ORKGA class of matrix differential equations is observed in this article. The conditions, under which this class has a polynomial solution, are obtained. The formula of that polynomial solution is also obtained, and some special cases of this type of equations related to orthogonal polynomial are observed.  
A note on the solutions of a kind of matrix polynomial equation Ber-Lin Yu1,1 and Hong Cheng2
AbstractFor when the Sylvester matrix equation has a unique solution, this work provides a closed fo...
We characterize monic orthogonal polynomial sequences generalizing the classical ones, as solutions ...
This paper deals with a class of matrix polynomial equations which appears in a natural way in the s...
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomia...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
AbstractIn this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric ma...
AbstractWe describe families of matrix valued polynomials satisfying simultaneously a first order di...
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
AbstractClassical orthogonal polynomials in two variables can be characterized as the polynomial sol...
summary:Matrix polynomials play an important role in the theory of matrix differential equations. We...
We analyze the polynomial solutions of the linear differential equation p2(x)y″+p1(x)y′+p0(x)y=0 whe...
AbstractIn this paper we introduce the concept of co-solution of a polynomial matrix equation which ...
A note on the solutions of a kind of matrix polynomial equation Ber-Lin Yu1,1 and Hong Cheng2
AbstractFor when the Sylvester matrix equation has a unique solution, this work provides a closed fo...
We characterize monic orthogonal polynomial sequences generalizing the classical ones, as solutions ...
This paper deals with a class of matrix polynomial equations which appears in a natural way in the s...
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomia...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
AbstractIn this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric ma...
AbstractWe describe families of matrix valued polynomials satisfying simultaneously a first order di...
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
AbstractClassical orthogonal polynomials in two variables can be characterized as the polynomial sol...
summary:Matrix polynomials play an important role in the theory of matrix differential equations. We...
We analyze the polynomial solutions of the linear differential equation p2(x)y″+p1(x)y′+p0(x)y=0 whe...
AbstractIn this paper we introduce the concept of co-solution of a polynomial matrix equation which ...
A note on the solutions of a kind of matrix polynomial equation Ber-Lin Yu1,1 and Hong Cheng2
AbstractFor when the Sylvester matrix equation has a unique solution, this work provides a closed fo...
We characterize monic orthogonal polynomial sequences generalizing the classical ones, as solutions ...