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

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Experimental mathematics

ISSN: 1058-6458

Ano de publicación: 2015

Volume: 24

Número: 1

Páxinas: 123-132

Tipo: Artigo

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

Outras publicacións en: Experimental mathematics

Repositorio institucional: lock_openAcceso aberto Postprint

Resumo

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