論文

2019年12月1日

Schur Parameters and the Carathéodory Class

Results in Mathematics
  • Ming Li
  • ,
  • Toshiyuki Sugawa

74
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
DOI
https://doi.org/10.1007/s00025-019-1107-7
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073548598&origin=inward
Scopus Citedby
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ID情報
  • DOI : 10.1007/s00025-019-1107-7
  • ISSN : 1422-6383
  • eISSN : 1420-9012
  • SCOPUS ID : 85073548598

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