On Certain Bounds for Genus 0 Entire Functions

Ruiming Zhang

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arXiv · 2211.00505

On Certain Bounds for Genus 0 Entire Functions

Ruiming Zhang

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Abstract

Abstract. In this work we use an elementary method to derive an upper bound on the right half-plane for genus 0 entire functions if it has only negative zeros. The bound only uses information of the function on the positive real axis. Applications to the modified Bessel functions and the Airy function are also provided.

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Ruiming Zhang. 2022-10-29. On Certain Bounds for Genus 0 Entire Functions. https://arxiv.org/abs/2211.00505

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