Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector

2020 ◽  
pp. 65-72
Author(s):  
Sergey Nikolaevich Kiyasov ◽  
Keyword(s):  
Closed Form ◽  
Three Dimensional ◽  
Analytic Vector ◽  
Conjugation Problem ◽  
Linear Conjugation ◽  
Linear Conjugation Problem

ON R-LINEAR CONJUGATION PROBLEM ON THE UNIT CIRCLE

2020 ◽  
Vol 11 (3) ◽  
pp. 79-88
Author(s):  
Leonid Primachuk ◽  
◽  
Sergei Rogosin ◽  
Maryna Dubatovskaya ◽  
◽  
...  
Keyword(s):  
Unit Circle ◽  
Conjugation Problem ◽  
Linear Conjugation ◽  
Linear Conjugation Problem

A generalised Milne-Thomson theorem for the case of an elliptical inclusion

2012 ◽  
Vol 23 (4) ◽  
pp. 469-484 ◽  
Author(s):  
Yu. V. OBNOSOV ◽  
A. V. FADEEV
Keyword(s):  
Analytical Solutions ◽  
Meromorphic Functions ◽  
Conjugation Problem ◽  
Linear Conjugation ◽  
Exact Analytical Solutions ◽  
Linear Conjugation Problem ◽  
Elliptical Inclusion ◽  
Principal Parts ◽  
The Given ◽  
Infinite Planar

An ℝ-linear conjugation problem modelling the process of power fields forming in a heterogeneous infinite planar structure with an elliptical inclusion is considered. Exact analytical solutions are derived in the class of piece-wise meromorphic functions with their principal parts fixed. Cases with internal singularities and with singularities of the given principal parts at the interface are investigated.

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