The Jinc- function: a note on the relevant generalizations and applications

Abstract

Jinc and sinc-functions are well known special functions with important applications in Spectral theory, Fourier Optics and diffraction problems from circular apertures. The first are less widespread known than the latter and should be more properly framed within the context of special functions. In this article we present a unified point of view to the relevant generalizations, propose generalized forms and touch on application perspectives.

Keywords

• Jinc-function
• Fourier-optics
• Quantum-diffraction

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