On All Symmetric and Nonsymmetric Exceptional Orthogonal X 1 -Polynomials Generated by a Specific Sturm–Liouville Problem

Mohammad Masjed-Jamei, Zahra Moalemi and Nasser Saad
Additional contact information
Mohammad Masjed-Jamei: Department of Mathematics, K. N. Toosi University of Technology, Tehran P.O. Box 16315-1618, Iran
Zahra Moalemi: Department of Mathematics, K. N. Toosi University of Technology, Tehran P.O. Box 16315-1618, Iran
Nasser Saad: School of Mathematical and Computational Sciences, University of Prince Edward Island, Charlottetown, PE C1A 4P3, Canada

Mathematics, 2022, vol. 10, issue 14, 1-30

Abstract: Exceptional orthogonal X 1 -polynomials of symmetric and nonsymmetric types can be considered as eigenfunctions of a Sturm–Liouville problem. In this paper, by defining a generic second-order differential equation, a unified classification of all these polynomials is presented, and 10 particular cases of it are then introduced and analyzed.

Keywords: Sturm–Liouville problems; exceptional orthogonal X1-polynomials; Pearson distributions family; generalized Jacobi, Laguerre and Hermite differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/14/2464/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/14/2464/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:14:p:2464-:d:863516

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().