Extremal decomposition of the complex plane with free poles

DOI10.1007/S10958-020-04718-ZzbMath1451.30022OpenAlexW4253378288MaRDI QIDQ2202612

Aleksandr Konstantinovich Bakhtin, Iryna Viktorovich Denega

Publication date: 29 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-04718-z

zbMATH Keywords

extremal problemsinner radius of domainmutually disjoint domains

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (9)

Estimation of the products of some powers of inner radii for multiconnected domains ⋮ The problem of extremal decomposition of a complex plane with free poles on a circle ⋮ Generalized M. A. Lavrentiev's inequality ⋮ About one problem on extremal decomposition ⋮ Some properties of a generalized multiplier transform on analytic \(p\)-valent functions ⋮ A.K. Bakhtin. Scientific legacy ⋮ Determination of some properties of starlike and close-to-convex functions according to subordinate conditions with convexity of a certain analytic function ⋮ Some coefficient bounds associated with transforms of bounded turning functions ⋮ Sufficient and Necessary Conditions for the Generalized Distribution Series to be in Subclasses of Univalent Functions

Cites Work

• The method of extremal metric in extremal decomposition problems with free parameters
• Extremal decomposition of the complex plane with restrictions for free poles
• Separating transformation and extremal problems on nonoverlapping simply connected domains
• Inequalities for the inner radii of nonoverlapping domains
• Generalization of some extremal problems on non-overlapping domains with free poles
• Estimates of products of inner radii of non-overlapping domains in the complex plane
• Symmetrization in the geometric theory of functions of a complex variable
• Condenser Capacities and Symmetrization in Geometric Function Theory
• EXTREMAL CONFORMAL MAPPINGS AND POLES OF QUADRATIC DIFFERENTIALS
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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