$d$-balanced squeezing function

TL;DR

This paper introduces a new $d$-balanced squeezing function inspired by generalized squeezing functions, explores its properties, and examines its relationship with the Fridman invariant in complex analysis.

Contribution

It defines and analyzes a novel $d$-balanced squeezing function, extending the concept of generalized squeezing functions and connecting it with the Fridman invariant.

Findings

Properties of the $d$-balanced squeezing function are established.

The relation between the $d$-balanced squeezing function and the Fridman invariant is studied.

The work provides new insights into the geometry of $d$-balanced domains.

Abstract

We introduce the notion of squeezing function corresponding to $d$-balanced domains motivated by the concept of generalized squeezing function given by Rong and Yang. In this work we study some of its properties and its relation with Fridman invariant.