1 citations · 1 across the 4 of their papers we have counts for
5 papers
Differential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials
Rodica D. Costin
Differential systems with a Fuchsian linear part are studied in regions including all the singularities in the complex plane of these equations. Such systems are not necessarily an…
Matrix valued polynomials generated by the scalar-type Rodrigues' formulas
Rodica D. Costin
The properties of matrix valued polynomials generated by the scalar-type Rodrigues' formulas are analyzed. A general representation of these polynomials is found in terms of produc…
A class of matrix-valued polynomials generalizing Jacobi Polynomials
Rodica D. Costin
A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential oper…
Failure of analytic hypoellipticity in a class of PDOs
O Costin, R D Costin
For the hypoelliptic differential operators introduced by T. Hoshiro, generalizing a class of M. Christ, in the cases of …
Asymptotic properties of a family of solutions of the Painleve equation PVI
O Costin, R D Costin
In this paper we study the asymptotic behavior for large argument of a family of solutions of the Painlevé equation P$_{\rm VI} arising in the context of Random Matrix Theory [1].…