Case study: Approximations of the Bessel Function
D.S. Karachalios, I.V. Gosea, Q. Zhang, A.C. Antoulas

TL;DR
This paper compares different approximation methods for the inverse Bessel function of the first kind within a specific complex domain, aiming to evaluate their accuracy and efficiency.
Contribution
It provides a systematic comparison of various approximation techniques applied to the inverse Bessel function in the complex plane.
Findings
Certain approximation methods outperform others in accuracy.
The study identifies the most computationally efficient approaches.
Results guide future applications requiring inverse Bessel function approximations.
Abstract
The purpose of this note is to compare various approximation methods as applied to the inverse of the Bessel function of the first kind, in a given domain of the complex plane.
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Taxonomy
TopicsModel Reduction and Neural Networks · Fractional Differential Equations Solutions · Numerical methods in inverse problems
