Zeros of the exceptional Laguerre and Jacobi polynomials
學年 100
學期 2
出版(發表)日期 2012-07-04
作品名稱 Zeros of the exceptional Laguerre and Jacobi polynomials
著者 Ho, Choon-Lin; Ryu Sasaki
單位 淡江大學物理學系
出版者 New York: International Scholarly Research Network (I S R N)
著錄名稱、卷期、頁數 ISRN Mathematical Physics 2012(2012), 920475(27pages)
摘要 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.
關鍵字 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)
語言 en_US
ISSN 2090-4681
期刊性質 國外
收錄於 SCI
國別 USA
出版型式 ,電子版,紙本

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