On Localization of Zeros of an Entire Function of Finite Order of Growth

The aim of the article is to find conditions on coefficients of a Taylor expansion of an entire function of finite order of growth in $$ \mathbb C $$ that guarantee a specified number of zeros. If the Taylor coefficients of f are real we also give conditions to determine whether the number of real and imaginary zeros is finite or infinite, and whether they are real or imaginary.

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