SOME BOUNDARY VALUE PROBLEMS FOR THE CAUCHY-RIEMANN EQUATION IN HALF LENS

2018 ◽  
Vol 9 (3) ◽  
pp. 73-84
Author(s):  
N. Taghizadeh ◽  
◽  
V. Soltani Mohammadi ◽  
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Riemann Equation ◽  
Cauchy Riemann

MULTIDIMENSIONAL ANALOGUES OF THE RIEMANN–HILBERT BOUNDARY VALUE PROBLEM

2007 ◽  
Vol 12 (2) ◽  
pp. 205-214
Author(s):  
Eugenijus Paliokas
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Different Types ◽  
Hilbert Boundary Value Problem ◽  
Cauchy Riemann

Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.

scholarly journals Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line

2019 ◽  
Vol 16 (2) ◽  
pp. 200-214
Author(s):  
Sergiy Plaksa
Keyword(s):  
Boundary Value Problems ◽  
Integral Equations ◽  
Real Axis ◽  
Analytic Functions ◽  
Boundary Value ◽  
Fredholm Integral Equations ◽  
Singular Line ◽  
Boundary Functions ◽  
Cauchy Riemann ◽  
The Given

We consider a generalized Cauchy-Riemann system with a rectilinear singular interval of the real axis. Schwarz boundary value problems for generalized analytic functions which satisfy the mentioned system are reduced to the Fredholm integral equations of the second kind under natural assumptions relating to the boundary of a domain and the given boundary functions.

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