On Generalized Free Electron Laser Equation
Dharmendra Kumar Singh
TL;DR
This paper derives solutions for a generalized free electron laser equation using advanced special functions, expanding the mathematical tools available for analyzing free electron lasers.
Contribution
It introduces solutions expressed via incomplete Mittag-Leffler and Wright functions, providing new analytical methods for free electron laser equations.
Findings
Solutions in terms of incomplete Mittag-Leffler functions
Solutions in terms of incomplete Wright functions
Enhanced mathematical framework for free electron laser analysis
Abstract
The aim of this paper is to derive a solution for a generalized free electron laser equation in terms of the incomplete Mittag-Leffler function and in terms of the incomplete Wright function.
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Taxonomy
TopicsElectron and X-Ray Spectroscopy Techniques · Advanced Materials Characterization Techniques · Laser-Matter Interactions and Applications