Results 21 to 30 of about 4,676 (117)
Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
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Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
Abstract and Applied Analysis, 2014 We prove that a homeomorphism f:R2→R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.
Yu-Ming Chu
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OPTIMIZATION OF CONTROLLED EXPLOSION PROCESSES PARAMETERS USING COMPLEX ANALYSIS METHODS
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2019 The optimal charge power and position necessary for forming the maximum possible size of the crater along with preservation of the integrity of the two nearby objects with the numerical quasiconformal mapping methods with the alternate parameterization ...
Andrii Ya. Bomba +2 more
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Hausdorff dimension of escaping sets of meromorphic functions
, 2020 We give a complete description of the possible Hausdorff dimensions of escaping sets for meromorphic functions with a finite number of singular values. More precisely, for any given $d\in [0,2]$ we show that there exists such a meromorphic function for ...
Aspenberg, Magnus, Cui, Weiwei
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Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2019 A numerical method of quasiconformal mappings for solving the coefficient problems of finding eigenvalues of the conductivity tensor having information about its directions in an anisotropic medium using applied quasipotential tomographic data is ...
Andrii Bomba +3 more
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On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space
Applied Mathematics in Science and Engineering, 2022 In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces.
F. G. Abdullayev, M. Imashkyzy
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On the theorem of wan for K-quasiconformal hyperbolic harmonic self mappings of the unit disk [PDF]
Mathematica Moravica, 2015 We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipschicity of the K-quasiconformal, K ≥ 1, hyperbolic harmonic mappings of the unit disk D onto itself.
Knežević Miljan
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Explicit Bounds and Sharp Results for the Composition Operators Preserving the Exponential Class
Journal of Function Spaces, 2016 Let f:Ω⊂Rn→Rn be a quasiconformal mapping whose Jacobian is denoted by Jf and let EXP(Ω) be the space of exponentially integrable functions on Ω. We give an explicit bound for the norm of the composition operator Tf: u∈EXP(Ω)↦u∘f-1∈EXP(f(Ω)) and, as a ...
Fernando Farroni, Raffaella Giova
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces
Open MathematicsIn this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces.
Liu Hong-Jun +3 more
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