Entire Function with Two Separated Values

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Date

2023-08-07

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Abstract

It’s known that an entire function with zeros and 1-points lying on a finite number of rays must have finite order. This thesis considers a transcendental entire function with two separated values in disjoint sectors. Given that such function is of finite order, and under some conditions related to the sizes of the sectors, it’s possible to determine the form of the function.

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Complex Analysis, Entire Functions, Separated zeros and 1-points, Separated Values

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