On the functional equation for classical orthogonal polynomials on lattices
K. Castillo, D. Mbouna, J. Petronilho
Abstract
Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated. Moreover, the functional Rodrigues formula and a closed formula for the recurrence coefficients are presented.
Topics & Concepts
MathematicsOrthogonal polynomialsFunctional equationClassical orthogonal polynomialsPure mathematicsAlgebra over a fieldMathematical analysisDifferential equationMathematical functions and polynomialsIterative Methods for Nonlinear EquationsMatrix Theory and Algorithms