Zeros of the exceptional Laguerre and Jacobi polynomials

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Title:	Zeros of the exceptional Laguerre and Jacobi polynomials
Authors:	Ho, Choon-Lin;Ryu Sasaki
Contributors:	淡江大學物理學系
Keywords:	Mathematical Physics (math-ph);High Energy Physics - Theory (hep-th);Classical Analysis and ODEs (math.CA);Exactly Solvable and Integrable Systems (nlin.SI);Quantum Physics (quant-ph)
Date:	2012-07-04
Issue Date:	2013-04-11
Publisher:	New York: International Scholarly Research Network (I S R N)
Abstract:	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.
Relation:	ISRN Mathematical Physics 2012(2012), 920475(27pages)
DOI:	10.5402/2012/920475
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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