Fueter’s Theorem for One Class of Pseudoanalytic Functions

In this paper, we extend Fueter’s theorem in hypercomplex function theory to encompass a class of pseudoanalytic functions associated with the main Vekua equation. This class includes Duffin’s μ -regular functions as special cases, which correspond to the Yukawa equation. As the parameter μ → 0 , we...

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Published in:Advances in applied Clifford algebras 2024-11, Vol.34 (5), Article 57
Main Authors: Han, Yuanyuan, Lian, Pan
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Language:English
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Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
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description In this paper, we extend Fueter’s theorem in hypercomplex function theory to encompass a class of pseudoanalytic functions associated with the main Vekua equation. This class includes Duffin’s μ -regular functions as special cases, which correspond to the Yukawa equation. As the parameter μ → 0 , we recover the classical Fueter’s theorem.
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Mathematical Methods in Physics
Physics
Physics and Astronomy
Theorems
Theoretical
title Fueter’s Theorem for One Class of Pseudoanalytic Functions
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