Uniformization and automorphisms in the solution of a functional equation in the bicircle

Authors

  • Danilo Gortaire Játiva Universidad Central del Ecuador, Carrera de Matemáticas

Keywords:

Functional equation, Uniformization, Automorphism, Convergent series, Analytic prolongation

Abstract

In the present work we analyze the conditions and formulas for the general solution of particular cases of the linear functional equation A(z,w)ξ(z,w)−A(z,0)ξ(z,0)−A(0,w)ξ(0,w)+A(0,0)ξ(0,0)=zwη(z,w),|z|≤1,|w|≤1,
with

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Published

2019-06-30

Issue

Vol. 17 No. 1 (2019): Volumen 2019

Section

Articulos