Search Results - methods of the theory of functions of a complex variable

Hörmander’s $$L^2$$-Method, $${\overline{\partial }}$$-Problem and Polyanalytic Function Theory in One Complex Variable by Alpay, Daniel, Colombo, Fabrizio, Diki, Kamal, Sabadini, Irene, Struppa, Daniele C.

“…In this paper we consider the classical $${\overline{\partial }}$$ ∂ ¯ -problem in the case of one complex variable both for analytic and polyanalytic data…”
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Topological Methods in the Theory of Functions of a Complex Variable: II. Boundary Values and Integral Characteristics of Interior Transformations and Pseudo-Harmonic Functions by Morse, M, Heins, M

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Topological Methods in the Theory of Functions of a Single Complex Variable: I. Deformation Types of Locally Simple Plane Curves by Morse, M, Heins, M

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Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method by Wang, Guizhen, Zhou, Linglong, Alotaibi, Reem, Hdeib, Roaya

“… Furthermore, the paper applies the basic theory of complex variable function to solve the boundary condition complex variable function for common tunnel sections, and obtains the analytical…”
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Hörmander's \(L^2\)-method, \(\bar{\partial}\)-problem and polyanalytic function theory in one complex variable by Alpay, Daniel, Colombo, Fabrizio, Diki, Kamal, Sabadini, Irene, Struppa, Daniele C

“…In this paper we consider the classical \(\bar{\partial}\)-problem in the case of one complex variable both for analytic and polyanalytic data…”
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Study of the plane problem for a physically nonlinear elastic solid by methods of the theory of functions of one complex Variable by Aleksandrovich, A. I., Gorlova, A. V.

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The method of analytic functions of several complex variables in temperature problems of the theory of elasticity by Burak, Ya. I., Pabirivs'kii, V. V.

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Uma Introdução às Funções de Variável Complexa no Ensino Médio: uma possibilidade através do uso de animações interativas/An Introduction to Complex Variable Functions in High School: a possibility through the use of interactive animations by Monzon, Larissa Weyh, Gravina, Maria Alice

“…This paper presents the design and construction of an educational material that focuses on complex numbers and functions…”
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Uniqueness Theorems of Meromorphic Functions and Their Differences in Several Complex Variables by Wu, Wangning, Cao, Tingbin

“…In this paper, making use of the value distribution theory for meromorphic functions in several complex variables and its difference analogues, we mainly consider the uniqueness problem…”
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Study of Jet Propagation and Prevention of Jet Reattachment to the Nacelle during Jet Engine Thrust Reversal by Mikhailov, A. S., Nasyrov, S. R., Samerkhanov, T. R., Kosterin, A. V.

“…Complex variable function theory methods are used to study the jet propagation and prevention of jet reattachment to the nacelle during jet engine thrust reversal for reverser cascades with constant…”
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Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory by Curto, Raúl E., Hwang, In Sung, Lee, Woo Young

“…In this paper, we study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory…”
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Modelling of precision steady-state and non-steady-state electrochemical machining by wire electrode-tool by Zhitnikov, V.P., Sherykhalina, N.M., Zaripov, A.A.

“…The methods of the theory of functions of a complex variable are applied for investigation of the electrochemical machining process…”
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Derivation and application of an analytical rock displacement solution on rectangular cavern wall using the inverse mapping method by Gao, Mingzhong, Yu, Bin, Qiu, Zhiqiang, Yin, Xiangang, Li, Shengwei, Liu, Qiang

“… This paper uses a Laurent series complex method to obtain a mapping function expression based on complex variable function theory and conformal transformation…”
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An analytical model for predicting the mechanical behavior of a deep lined circular pressure tunnel by using complex variable method by Guo, Zhijie, Wu, Bisheng, Jia, Shanpo

“… In this paper, an analytical model is developed to study the mechanical behavior, i.e. stress, displacement and stability, of a deep lined tunnel by combining the complex variable method with the Biot theory…”
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Is a Complex-Valued Stepsize Advantageous in Complex-Valued Gradient Learning Algorithms? by Huisheng Zhang, Mandic, Danilo P.

“…Complex gradient methods have been widely used in learning theory, and typically aim to optimize real-valued functions of complex variables…”
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A Symmetric Three-Layer Plate with Two Coaxial Cracks under Pure Bending by Delyavskyy, Mykhaylo, Opanasovych, Viktor, Seliverstov, Roman, Bilash, Oksana

“… By using complex potentials and methods of the theory of functions of a complex variable, the solution to the problem was obtained in the form of a singular integral equation…”
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Computing Decay Widths of Autoionizing Rydberg States with Complex-Variable Coupled-Cluster Theory by Creutzberg, Joel, Skomorowski, Wojciech, Jagau, Thomas-C

“…We compute autoionization widths of various Rydberg states of neon and N by equation-of-motion coupled-cluster theory combined with complex scaling and complex basis functions…”
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Perturbations of Christoffel–Darboux Kernels: Detection of Outliers by Beckermann, Bernhard, Putinar, Mihai, Saff, Edward B., Stylianopoulos, Nikos

“… We develop a multivariate theory of the Christoffel–Darboux kernel in C d , with emphasis on the perturbation of Christoffel functions and their level sets with respect to perturbations of small norm or low rank…”
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Geometric function theory in several complex variables: Proceedings of a satellite conference to the International Congress on Mathematicians in Beijing 2002, University of Science and Technology, China, 30 August - 2 September 2002 by FitzGerald, Carl H, Gong, Sheng

“… The main theme is the extension of geometric function theory methods and theorems to several complex variables…”
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Analytical stress solution and mechanical properties for rock mass containing a hole with complex shape by Tan, Lihai, Ren, Ting, Dou, Linming, Yang, Xiaohan, Qiao, Ming, Peng, Huaide

“…•The influence of hole shape on its stability was discussed. In this study, complex variable theory was employed to study the stress distribution for rock mass containing a hole with complex shapes…”
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