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

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Revista:
Experimental mathematics

ISSN: 1058-6458

Any de publicació: 2015

Volum: 24

Número: 1

Pàgines: 123-132

Tipus: Article

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

Altres publicacions en: Experimental mathematics

Repositori institucional: lock_openAccés obert Postprint

Projectes relacionats

Ortogonalidad y aproximación: teoría y aplicaciones en ciencia y tecnología

2013/00004/001

Resum

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