کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509707 | 1632062 | 2005 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continued fractions and orthogonal polynomials on the unit circle
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Continued fractions and orthogonal polynomials on the unit circle Continued fractions and orthogonal polynomials on the unit circle](/preview/png/9509707.png)
چکیده انگلیسی
This survey is written to stress the role of continued fractions in the theory of orthogonal polynomials on the line and on the circle. We follow the historical development of the subject, which opens many interesting relationships of orthogonal polynomials to other important branches of mathematics. At the end we present a new formula for orthogonal polynomials on the real line, the Leganés formula,â«Qn-12dÏt-z=1Qn/Qn-1-â«dÏn/(t-z),which is a correct analogue of the corresponding formula on the unit circle. This formula is applied to obtain a recent result by Simon.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 178, Issues 1â2, 1 June 2005, Pages 267-303
Journal: Journal of Computational and Applied Mathematics - Volume 178, Issues 1â2, 1 June 2005, Pages 267-303
نویسندگان
Sergey Khrushchev,