SOME RESULTS RELATED TO EXTREMAL LENGTH,

In this note, we introduce the concept of the extremal length of a curve family in the complex plane and apply the extremal length to the boundary behavior of analytic functions. We consider some geometric applications of extremal length and establish applications connected with the logarithmic capacity.

1. Introduction

2. Extremal length

3. Geometric applications

4. Logarithmic capacity and Extremal length

5. Some results

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