Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials

  1. Durán, A.J. 1
  2. Pérez, M. 2
  3. Varona, J.L. 3
  1. 1 Universidad de Sevilla
    info
    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

    Geographic location of the organization Universidad de Sevilla
  2. 2 Universidad de Zaragoza
    info
    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

    Geographic location of the organization Universidad de Zaragoza
  3. 3 Universidad de La Rioja
    info
    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

    Geographic location of the organization Universidad de La Rioja
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Journal:
Experimental mathematics

ISSN: 1058-6458

Year of publication: 2015

Volume: 24

Issue: 1

Pages: 123-132

Type: Article

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DOI: 10.1080/10586458.2014.958786 SCOPUS: 2-s2.0-84961291614 WoS: WOS:000349389100011 GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Experimental mathematics

Institutional repository: lock_openOpen access Postprint
Identificador persistente: https://hdl.handle.net/20.500.14797/5bbc6997b750603269e81e06

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Abstract

In this paper, we conjecture some regularity properties for the zeros of Wronskian and Casorati determinants whose entries are orthogonal polynomials. These determinants are formed by choosing orthogonal polynomials whose degrees run on a finite set of nonnegative integers. The case in which such a set is formed by consecutive integers was studied by Karlin and Szegö