A Class of Orthogonal Polynomials on the Boundary of an Ellipse
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04311-z
Abstract: We construct a class of polynomials of one complex variable that are pairwise orthogonal with some weight on the boundary of an ellipse. We prove that an arbitrary λ-holomorphic Hölder function defined in an ellipse… read more here.
Keywords: ellipse; class orthogonal; orthogonal polynomials; boundary ellipse ... See more keywords
On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties
Sign Up to like & getrecommendations! Published in 2020 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2020.1811702
Abstract: ABSTRACT The classical 2-orthogonal polynomials share the so-called Hahn property, this means that they are 2-orthogonal polynomials whose the sequences of their derivatives are also 2-orthogonal polynomials. Based only on this property, a new class… read more here.
Keywords: new class; recurrence; class orthogonal; polynomials recurrence ... See more keywords