Meromorphization of M. I. Kinder’s Formula Via the Change of Contours
- Authors: Kazantsev A.V.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 39, No 6 (2018)
- Pages: 771-776
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202373
- DOI: https://doi.org/10.1134/S1995080218060094
- ID: 202373
Cite item
Abstract
Parametrical families of the exterior inverse boundary value problems going back to well-known R. B. Salimov’s book became a plentiful source of new statements and methods in the study of the above problems. Critical points of conformal radii acting as the free parameters of such problems show interesting interrelations between their parametrical dynamics and geometric behavior. M.I. Kinder’s formula connecting the numbers of local maxima and saddles of a conformal radius is generalized here on the case when the derivative of the mapping function has zeros and poles in the unit disk and on its boundary.
About the authors
A. V. Kazantsev
Kazan (Volga Region) Federal University
Author for correspondence.
Email: avkazantsev63@gmail.com
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008