On a boundary morera theorem for the classical domains

1999 ◽  
Vol 40 (3) ◽  
pp. 506-514
Author(s):  
S. Kosbergenov ◽  
A. M. Kytmanov ◽  
S. G. Myslivets
Keyword(s):  
Morera Theorem

scholarly journals Quaternionic G-Monogenic Mappings in Em

2018 ◽  
Vol 12 ◽  
pp. 1-34
Author(s):  
Vitalii S. Shpakivskyi ◽  
Tetyana S. Kuzmenko
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Complex Variable ◽  
Analytic Functions ◽  
Integral Formula ◽  
Cauchy Integral Formula ◽  
Cauchy Integral ◽  
Partial Differential ◽  
Morera Theorem ◽  
Classical Integral

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.

scholarly journals Boundary Version of the Morera Theorem for a Matrix Ball of the Second Type

2014 ◽  
Vol 7 (4) ◽  
pp. 466-471
Author(s):  
Gulmirza Kh. Khudayberganov ◽  
◽  
Zokirbek K. Matyakubov ◽  
Keyword(s):  
Morera Theorem ◽  
Boundary Version

A generalization of the multidimensional Morera theorem

1979 ◽  
Vol 30 (3) ◽  
pp. 265-269
Author(s):  
A. V. Bondar'
Keyword(s):  
Morera Theorem

scholarly journals Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra

2014 ◽  
Vol 22 (1) ◽  
pp. 221-235 ◽  
Author(s):  
S. A. Plaksa ◽  
R. P. Pukhtaievych
Keyword(s):  
Commutative Algebra ◽  
Function Theory ◽  
Integral Formula ◽  
Monogenic Functions ◽  
Cauchy Integral ◽  
Constructive Description ◽  
Finite Dimensional ◽  
Morera Theorem ◽  
Classical Integral ◽  
Derivatives Of

AbstractWe obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable. We prove that the mentioned monogenic functions have the Gateaux derivatives of all orders. For monogenic functions we prove also analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvilinear integrals, the Morera theorem and the Cauchy integral formula.

A boundary Morera theorem

1993 ◽  
Vol 3 (3) ◽  
pp. 269-277 ◽  
Author(s):  
Josip Globevnik
Keyword(s):  
Morera Theorem

Thin discs and a Morera theorem for CR functions

1997 ◽  
Vol 226 (2) ◽  
pp. 327-334 ◽  
Author(s):  
Alexander Tumanov
Keyword(s):  
Cr Functions ◽  
Morera Theorem

scholarly journals The boundary Morera theorem for domain $\tau^+(n-1)$

2021 ◽  
Vol 13 (3) ◽  
pp. 191-205
Author(s):  
Gulmirza Khudaiberganov ◽  
Jonibek Shokirovich Abdullayev
Keyword(s):  
Morera Theorem
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