Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the case<i>s</i> = 2

Abstract

Abstract In the present work, we deal with the quadratic decomposition of symmetric semi-classical polynomial sequences of even class. An example from class 2 is settled. We give an integral representation of the considered symmetric form. Keywords: orthogonal polynomialssymmetric sequencessemi-classical sequencesquadratic decompositionKeywords: 33C4542C05 Notes 1. maroni@ann.jussieu.fr Additional informationNotes on contributorsP. Maroni 1