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schur class : ウィキペディア英語版
schur class
In mathematics, the Schur class consists of the Schur functions: the holomorphic functions from the open unit disk to the closed unit disk. These functions were studied by .
The Schur parameters γ''j'' of a Schur function ''f''0 are defined recursively by
: \gamma_j=f_j(0)
:zf_=\frac.
The Schur parameters γ''j'' all have absolute value at most 1.
This gives a continued fraction expansion of the Schur function ''f''0 by repeatedly using the fact that
: f_j(z)=\gamma_j+\frac}
which gives
: f_0(z)=\gamma_0+\frac+\frac}}}.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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