On the inverse of sinc(x)
Aleksey V. Kargovsky
TL;DR
This paper investigates the inversion of the sinc function, deriving new series and integral representations for its inverse branches through Fourier analysis techniques.
Contribution
It introduces novel series and integral formulas for the inverse sinc function, expanding the mathematical understanding of its branches.
Findings
Derived new series representations of inverse sinc branches.
Developed integral formulas using Fourier analysis.
Enhanced analytical tools for sinc function inversion.
Abstract
Inversion of function sinc(x) is studied. New series and integral representations of branches of inverse function are obtained using Fourier analysis.
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Taxonomy
TopicsMatrix Theory and Algorithms