2019年12月1日
Schur Parameters and the Carathéodory Class
Results in Mathematics
- ,
- 巻
- 74
- 号
- 4
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00025-019-1107-7
The Schur (resp. Carathéodory) class consists of all the analytic functions f on the unit disk with | f| ≤ 1 (resp. Ref>0 and f(0) = 1). The Schur parameters γ, γ , ⋯ (| γ | ≤ 1) are known to parameterize the coefficients of functions in the Schur class. By employing a recursive formula for it, we describe the n-th coefficient of a Carathéodory function in terms of n independent variables γ , ⋯ , γ . The mapping properties of those correspondences are also studied. 1 j 1 n
- リンク情報
- ID情報
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- DOI : 10.1007/s00025-019-1107-7
- ISSN : 1422-6383
- eISSN : 1420-9012
- SCOPUS ID : 85073548598