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:Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case
學年101
學期2
出版(發表)日期2013/03/04
作品名稱Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case
作品名稱(其他語言)
著者Ho, C.-L.; Sasaki, R.; Takemura, K.
單位淡江大學物理學系
出版者Bristol: Institute of Physics Publishing Ltd.
著錄名稱、卷期、頁數Journal of Physics A: Mathematical and Theoretical 46(11), 115205(27pages)
摘要The multi-indexed Jacobi polynomials are the main part of the eigenfunctions of exactly solvable quantum mechanical systems obtained by certain deformations of the P¨oschl-Teller potential (Odake-Sasaki). By fine-tuning the parameter(s) of the P¨oschlTeller potential, we obtain several families of explicit and global solutions of certain second order Fuchsian differential equations with an apparent singularity of characteristic exponent −2 and −1. They form orthogonal polynomials over x ∈ (−1,1) with
weight functions of the form (1 − x)α(1 + x)β/{(ax + b)4q(x)2}, in which q(x) is a polynomial in x.
關鍵字
語言英文
ISSN1751-8113
期刊性質國外
收錄於SCI
產學合作
通訊作者Ho, C.-L.
審稿制度
國別英國
公開徵稿
出版型式紙本
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