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Zeros of the Exceptional Laguerre and Jacobi Polynomials
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-11
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
An interesting discovery in the last two years in the field of mathematical physics has been the exceptional Xℓ Laguerre and Jacobi polynomials.
Unlike the well-known classical orthogonal polynomials which start with constant terms, these new polynomials have the lowest degree ℓ=1,2,…, and yet they form complete sets with respect to some positive-definite measure.
In this paper, we study one important aspect of these new polynomials, namely, the behaviors of their zeros as some parameters of the Hamiltonians change.
Most results are of heuristic character derived by numerical analysis.
American Psychological Association (APA)
Ho, Choon-Lin& Sasaki, Ryu. 2012. Zeros of the Exceptional Laguerre and Jacobi Polynomials. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-508216
Modern Language Association (MLA)
Ho, Choon-Lin& Sasaki, Ryu. Zeros of the Exceptional Laguerre and Jacobi Polynomials. ISRN Mathematical Physics No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-508216
American Medical Association (AMA)
Ho, Choon-Lin& Sasaki, Ryu. Zeros of the Exceptional Laguerre and Jacobi Polynomials. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-508216
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508216