教師資料查詢 | 類別: 期刊論文 | 教師: 何俊麟 HO, CHOON-LIN (瀏覽個人網頁)

標題:Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials
學年100
學期1
出版(發表)日期2011/11/01
作品名稱Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials
作品名稱(其他語言)
著者Ho, Choon-Lin; Satoru Odake; Ryu Sasaki
單位淡江大學物理學系
出版者Kyiv: Natsional'na Akademiya Nauk Ukrainy * Instytut Matematyky
著錄名稱、卷期、頁數Symmetry, Integrability and Geometry: Methods and Applications 7, 107(24pages)
摘要We present various results on the properties of the four infinite sets of the exceptional Xl polynomials discovered recently by Odake and Sasaki [Phys. Lett. B 679 (2009), 414-417; Phys. Lett. B 684 (2010), 173-176]. These Xl polynomials are global solutions of second order Fuchsian differential equations with l+3 regular singularities and their confluent limits. We derive equivalent but much simpler looking forms of the Xl polynomials. The other subjects discussed in detail are: factorisation of the Fuchsian differential operators, shape invariance, the forward and backward shift operations, invariant polynomial subspaces under the Fuchsian differential operators, the Gram-Schmidt orthonormalisation procedure, three term recurrence relations and the generating functions for the Xl polynomials.
關鍵字exceptional orthogonal polynomials; Gram-Schmidt process; Rodrigues formulas; generating functions
語言中文
ISSN1815-0659
期刊性質國外
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國別烏克蘭
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