Kondrashov A.N. Alternating Beltrami Equation and Conformal Multifolds
- Details
- Hits: 884
http://dx.doi.org/10.15688/jvolsu1.2015.5.1
Kondrashov Alexander Nikolaеvich
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Computer Sciences and Experimental Mathematics,
Volgograd State University
This email address is being protected from spambots. You need JavaScript enabled to view it.
,
This email address is being protected from spambots. You need JavaScript enabled to view it.
Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
The main results of this work.
(A1) Functions fk(z) (k = 1, 2) are analytical ( antianalytical ) extended from each white ( black ) domain Di to a domain Ω ⊃ [D] and these extensions fki (z) (i = 1, . . . ,N), are homeomorphisms of Ω.
(A2) ∩i=1N f1i(Ω) ⊃ [f1(D)].
Then the conformal multifold f2(z) in DΓ0 is also conformal multifold in D.
Alternating Beltrami Equation and Conformal Multifolds by Kondrashov A.N. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №5 (30) 2015 pp. 6-24