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Quaternionic <i>G</i>-Monogenic Mappings in <i>E<sub>m</sub></i>

Quaternionic <i>G</i>-Monogenic Mappings in <i>E<sub>m</sub></i>

We consider a class of so-called quaternionic G-monogenic mappings associatedwith m-dimensional (m 2 f2; 3; 4g) partial differential equations and propose a description of allmappings from this class by using four analytic functions of complex variable. For G-monogenicmappings we generalize some analogues of classical integral theorems of the holomorphic functiontheory …