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- W2891806245 abstract "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 of the complex variable (the surface and the curvilinear Cauchy integral theorems,the Cauchy integral formula, the Morera theorem), and Taylor’s and Laurent’s expansions.Moreover, we investigated the relation between G-monogenic and H-monogenic (differentiablein the sense of Hausdorff) quaternionic mappings." @default.
- W2891806245 created "2018-09-27" @default.
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- W2891806245 date "2018-09-01" @default.
- W2891806245 modified "2023-09-23" @default.
- W2891806245 title "Quaternionic <i>G</i>-Monogenic Mappings in <i>E<sub>m</sub></i>" @default.
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- W2891806245 doi "https://doi.org/10.18052/www.scipress.com/ijarm.12.1" @default.
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