Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials

DOI10.1080/10586458.2014.958786zbMath1315.42015OpenAlexW1964765504WikidataQ123144690 ScholiaQ123144690MaRDI QIDQ5246365

Juan Luis Varona, Antonio J. Duran, Mario Pérez Riera

Publication date: 21 April 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2014.958786

zbMATH Keywords

orthogonal polynomialsconjecturesnumbers of zerosWronskian determinants

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Real polynomials: location of zeros (26C10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

The irreducibility of some Wronskian Hermite polynomials, Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials, Exceptional Jacobi polynomials which are deformations of Jacobi polynomials, Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation, Casorati type determinants of some $\mathfrak {q}$-classical orthogonal polynomials, Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials, On the properties of zeros of Bessel series in the real line

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