Moutard transform for the generalized analytic functions
P.G. Grinevich (1), R.G. Novikov (2) ((1) L.D. Landau Institute for, Theoretical Physics, Lomonosov Moscow State University, Moscow Institute of, Physics, Technology, (2) Centre de Math\'ematiques Appliqu\'ees, \'Ecole, Polytechnique)
TL;DR
This paper introduces a Moutard-type transform tailored for generalized analytic functions, providing foundational theorems and explicit examples to advance the mathematical understanding of these functions.
Contribution
It develops a novel Moutard transform specifically for generalized analytic functions, including initial theoretical results and explicit illustrative examples.
Findings
Established a Moutard transform for generalized analytic functions
Provided initial theorems supporting the transform's properties
Presented explicit examples demonstrating the transform's application
Abstract
We construct a Moutard-type transform for the generalized analytic functions. The first theorems and the first explicit examples in this connection are given.
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Taxonomy
TopicsFractional Differential Equations Solutions · Mathematical Analysis and Transform Methods · Algebraic and Geometric Analysis