Blaschke-Type Conditions for Analytic and Subharmonic Functions in the Unit Disk: Local Analogs and Inverse Problems

Carathéodory–Julia type conditions and s

Carathéodory–Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk

✍ Vladimir Bolotnikov; Alexander Kheifets 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 248 KB

## Abstract It is shown that the following conditions are equivalent for the generalized Schur class functions at a boundary point __t__~0~ ∈ 𝕋: 1) Carathéodory–Julia type condition of order __n__; 2) agreeing of asymptotics of the original function from inside and of its continuation by reflection