3 citations · 4 across the 3 of their papers we have counts for
4 papers
On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials
Mahouton Norbert Hounkonnou, André Ronveaux
This paper addresses a general method of polynomial transformation of hypergeometric equations. Examples of some classical special equations of mathematical physics are generated.…
Bivariate second--order linear partial differential equations and orthogonal polynomial solutions
I. Area, E. Godoy, A. Ronveaux +1
In this paper we construct the main algebraic and differential properties and the weight functions of orthogonal polynomial solutions of bivariate second--order linear partial diff…
Generalized Heun and Lamé's equations: factorization
Mahouton Norbert Hounkonnou, André Ronveaux
This paper addresses new results on the factorization of the general Heun's operator, extending the investigations performed in previous works [{\it Applied Mathematics and Computa…
Upward extension of the Jacobi matrix for orthogonal polynomials
André Ronveaux, Walter Van Assche
Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) wh…