A Numerical Model for the Construction of Finite Blaschke Products with Preassigned Distinct Critical Points

Christer Glader, Ray Pörn

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We present a numerical model for determining a finite Blaschke product of degree n+1nhaving  nnpreassigned distinct critical points z1,...,znin the complex (open) unit disk D. The Blaschke product is uniquely determined up to postcomposition with conformal automorphisms of D. The proposed method is based on the construction of a sparse nonlinear system where the data dependency is isolated to two vectors and on a certain transformation of the critical points. The efficiency and accuracy of the method is illustrated in several examples.

Original languageUndefined/Unknown
Publication statusPublished - 2018
MoE publication typeD4 Published development or research report or study

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