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Equivalence of Finite Genus Definitions by Muthumanikandan Hariraman is a document available to read on EtoBox.

This document proves that two definitions of finite genus for entire functions are equivalent. It first shows that if a function f has finite genus h1 under definition 1, then it also has finite genus h2 under definition 2, where h2 is less than or equal to h1. It then shows the reverse by reversing the steps, proving the definitions are equivalent. It uses properties of polynomials and the extreme value theorem.

Author

Muthumanikandan Hariraman

Language

EN