Log in

Relevant bibliographies by topics / Functions of a complex variable – Geometric function theory – Geometric function theory

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Functions of a complex variable – Geometric function theory – Geometric function theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Functions of a complex variable – Geometric function theory – Geometric function theory.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Functions of a complex variable – Geometric function theory – Geometric function theory"

1

Ibrahim, Rabha W., Rafida M. Elobaid, and Suzan J. Obaiys. "Symmetric Conformable Fractional Derivative of Complex Variables." Mathematics 8, no. 3 (2020): 363. http://dx.doi.org/10.3390/math8030363.

Full text

Abstract:

It is well known that the conformable and the symmetric differential operators have formulas in terms of the first derivative. In this document, we combine the two definitions to get the symmetric conformable derivative operator (SCDO). The purpose of this effort is to provide a study of SCDO connected with the geometric function theory. These differential operators indicate a generalization of well known differential operator including the Sàlàgean differential operator. Our contribution is to impose two classes of symmetric differential operators in the open unit disk and to describe the fur

APA, Harvard, Vancouver, ISO, and other styles

2

Li, Cheng, Ying Tie, and Yan Ping Zheng. "Effects of Opening Hole Geometric Parameters on Hole-Edge Stress Field of Plates According to a Complex Variable Function Model." Advanced Materials Research 97-101 (March 2010): 2614–17. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.2614.

Full text

Abstract:

Mapping functions of various ellipses are gained by complex function theory. Applying stress function with complex variables, a mechanical model of the stress field and the stress components near the hole is presented. The influences of three different geometric parameters of elliptic hole on stress around hole are discussed subject to bending moment. The results show that the length of long axis and short axis is more uniform, the peak stress around hole edge is greater. The work above will provide theory references on choosing hole shape in practical engineering.

APA, Harvard, Vancouver, ISO, and other styles

3

Chao, C. K., and J. W. Wang. "Thermal Stress Analysis of a Subsurface Inclined Crack Subjected to a Point Heat Source." Journal of Energy Resources Technology 119, no. 1 (1997): 38–44. http://dx.doi.org/10.1115/1.2794220.

Full text

Abstract:

The thermoelastic response of a subsurface inclined crack under the application of a point heat source is studied in this paper. Based on the complex variable theory and the method of analytical continuation, the problem is formulated by two stress functions and a temprature function which are enforced to satisfy the interface condition. The singular integral equations for both the temperature field and thermoelastic field are derived by taking dislocation functions along the crack border such that both the insulated condition and traction-free condition are satisfied on the crack surface. Num

APA, Harvard, Vancouver, ISO, and other styles

4

Yang, Quanquan, He Cao, Youcheng Tang, and Bo Yang. "Out-of-Plane Bending of Functionally Graded Thin Plates with a Circular Hole." Applied Sciences 10, no. 7 (2020): 2231. http://dx.doi.org/10.3390/app10072231.

Full text

Abstract:

The out-of-plane bending problems of functionally graded thin plates with a circular hole are studied for two-dimensional deformations. The thin plates have arbitrary variations of elastic properties along the radial direction. The general solutions of the stresses and moments are presented for the plates subjected to remote bending moments based on the theory of complex variable functions. Two different cases—a whole functionally graded plate with a circular hole and a functionally graded ring reinforced in a homogeneous perforated plate—are considered by numerical examples. The influence of

APA, Harvard, Vancouver, ISO, and other styles

5

Denega, Iryna. "Estimation of the products of the inner radii of domains with an additional symmetry condition." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 33 (December 27, 2019): 83–90. http://dx.doi.org/10.37069/1683-4720-2019-33-6.

Full text

Abstract:

In geometric function theory of complex variable extremal problems on non-overlapping domains are well-known classic direction. A lot of such problems are reduced to determination of the maximum of product of inner radii on the system of non-overlapping domains satisfying a certain conditions. Based on these elementary estimates a number of new estimates for functions realizing a conformal mapping of a disc onto domains with certain special properties are obtained. Estimates of this type are fundamental to solving some metric problems arising when considering the cor\-res\-pon\-dence of bounda

APA, Harvard, Vancouver, ISO, and other styles

6

Dubinin, V. N. "Symmetrization in the geometric theory of functions of a complex variable." Russian Mathematical Surveys 49, no. 1 (1994): 1–79. http://dx.doi.org/10.1070/rm1994v049n01abeh002002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bakhtin, Aleksandr, and Liudmyla Vyhivska. "Problem on extremal decomposition of the complex plane with free poles." Ukrainian Mathematical Bulletin 17, no. 1 (2020): 3–29. http://dx.doi.org/10.37069/1810-3200-2020-17-1-1.

Full text

Abstract:

We consider the well-known problem of the geometric theory of functions of a complex variable on non-overlapping domains with free poles on radial systems. The main results of the present work strengthen and generalize several known results for this problem.

APA, Harvard, Vancouver, ISO, and other styles

8

Targonskii, Andrii, and Iryna Targonskaya. "Extreme problem for a mosaic system of points." Ukrainian Mathematical Bulletin 17, no. 3 (2020): 437–47. http://dx.doi.org/10.37069/1810-3200-2020-17-3-8.

Full text

Abstract:

In the geometric theory of functions of a complex variable, the well-known direction is related to the estimates of the products of the inner radii of pairwise nonoverlapping domains. This direction is called extreme problems in classes of pairwise nonoverlapping domains. One of the problems of this type is considered in the present work.

APA, Harvard, Vancouver, ISO, and other styles

9

Targonskii, Andrii, and Iryna Targonskaya. "Extreme problem for a mosaic system of points." Ukrainian Mathematical Bulletin 17, no. 3 (2020): 437–47. http://dx.doi.org/10.37069/1810-3200-2020-17-3-8.

Full text

Abstract:

In the geometric theory of functions of a complex variable, the well-known direction is related to the estimates of the products of the inner radii of pairwise nonoverlapping domains. This direction is called extreme problems in classes of pairwise nonoverlapping domains. One of the problems of this type is considered in the present work.

APA, Harvard, Vancouver, ISO, and other styles

10

Ghanim, Firas, Khalifa Al-Shaqsi, Maslina Darus, and Hiba Fawzi Al-Janaby. "Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function." Mathematics 9, no. 2 (2021): 192. http://dx.doi.org/10.3390/math9020192.

Full text

Abstract:

Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics. The Hurwitz-Lerch Zeta type functions, as a part of Special Function Theory (SPFT), are significant in developing and providing further new studies. In complex domain, the convolution tool is a salutary technique for systematic analytical characterization of geometric functions. The analytic functions in the punctured unit disk are the so-called meromorphic functions. In this present analysis, a new convolution

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Functions of a complex variable – Geometric function theory – Geometric function theory"

1

Leon, Ralph Daniel. "Module structure of a Hilbert space." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/2469.

Full text

Abstract:

This paper demonstrates the properties of a Hilbert structure. In order to have a Hilbert structure it is necessary to satisfy certain properties or axioms. The main body of the paper is centered on six questions that develop these ideas.

APA, Harvard, Vancouver, ISO, and other styles

2

Pauley, Blaga Slavcheva. "Constructible circles on the unit sphere." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1675.

Full text

Abstract:

In this paper we show how to give an intrinsic definition of a constructible circle on the sphere. The classical definition of constructible circle in the plane, using straight edge and compass is there by translated in ters of so called Lenart tools. The process by which we achieve our goal involves concepts from the algebra of Hermitian matrices, complex variables, and Sterographic projection. However, the discussion is entirely elementary throughout and hopefully can serve as a guide for teachers in advanced geometry.

APA, Harvard, Vancouver, ISO, and other styles

3

McBride, Matthew Scott. "D-bar and Dirac Type Operators on Classical and Quantum Domains." 2012. http://hdl.handle.net/1805/2931.

Full text

Abstract:

Indiana University-Purdue University Indianapolis (IUPUI)<br>I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the inverse or inverse modulo compact operators to these operators are computed. These inverses/parametrices are also shown to be bounded and are also shown to be compact, if possible. Also the index of some of the d-bar operators are computed when it doesn't have trivial index. Finally a certain type of limit statement can be said bet

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Functions of a complex variable – Geometric function theory – Geometric function theory"

1

Noguchi, Junjiro. Geometric function theory in several complex variables. American Mathematical Society, 1990.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Takushiro, Ochiai, ed. Geometric function theory in several complex variables. American Mathematical Society, 1990.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Gabriela, Kohr, ed. Geometric function theory in one and higher dimensions. Marcel Dekker, 2003.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

4

Gal, Sorin G. Introduction to geometric function theory of hypercomplex variables. Nova Science Publishers, 2002.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

5

Classical complex analysis: A geometric approach. World Scientific, 2011.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Conformal invariants: Topics in geometric function theory. AMS Chelsea Pub., 2010.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

7

Shapiro, Joel H. Composition operators and classical function theory. Springer-Verlag, 1993.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

8

1959-, Blasco Oscar, and Universidad Politécnica de Valencia, eds. Topics in complex analysis and operator theory: Third Winter School Complex Analysis and Operator theory, February 2-5, 2010, Universidad Politécnica de Valencia, Valencia, Spain. American Mathematical Society, 2012.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

9

1941-, Hag Kari, and Broch Ole Jacob, eds. The ubiquitous quasidisk. American Mathematical Society, 2012.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Conformal dynamics and hyperbolic geometry: A conferece in honor of Linda Keen's 70th birthday, October 22-24, 2010, Graduate School and University Center of CUNY, New York, New York. American Mathematical Society, 2010.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Functions of a complex variable – Geometric function theory – Geometric function theory"

1

Krantz, Steven G. "The Geometric Theory of Holomorphic Functions." In Complex Variables. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429275166-11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Krantz, Steven G. "The Geometric Theory of Holomorphic Functions." In Handbook of Complex Variables. Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1588-2_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Lu, Qi-Keng. "The Theory of Functions of Several Complex Variables in China from 1949 to 1989." In Contemporary Geometry. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-7950-8_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

"The Geometric Theory of Holomorphic Functions." In Complex Variables. Chapman and Hall/CRC, 2007. http://dx.doi.org/10.1201/9781420010954-10.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

"Stein spaces, geometric theory." In Analytic Functions of Several Complex Variables. American Mathematical Society, 2009. http://dx.doi.org/10.1090/chel/368/07.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Qiu, S. L., and M. Vuorinen. "Special Functions in Geometric Function Theory." In Handbook of Complex Analysis. Elsevier, 2005. http://dx.doi.org/10.1016/s1874-5709(05)80018-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

"Univalence in several complex variables." In Geometric Function Theory in One and Higher Dimensions. CRC Press, 2003. http://dx.doi.org/10.1201/9780203911624.pt2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

"Holomorphic Functions of Many Variables." In Hodge Theory and Complex Algebraic Geometry I. Cambridge University Press, 2002. http://dx.doi.org/10.1017/cbo9780511615344.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

"Linear invariance in several complex variables." In Geometric Function Theory in One and Higher Dimensions. CRC Press, 2003. http://dx.doi.org/10.1201/9780203911624.ch10.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

"Loewner chains in several complex variables." In Geometric Function Theory in One and Higher Dimensions. CRC Press, 2003. http://dx.doi.org/10.1201/9780203911624.ch8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Functions of a complex variable – Geometric function theory – Geometric function theory"

1

Panta Pazos, Rube´n. "Hybrid Methods Approach for Solving Problems in Transport Theory." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48400.

Full text

Abstract:

In this work the hybrid methods approach is introduced in order to solve some problems in Transport Theory for different geometries. The transport equation is written as: ∂ψ∂t(x,v,t)+v·∇ψ(x,v,t)+h(x,μ)ψ(x,v,t)==∫Vk(x,v,v′)ψ(x,v′,t)dv′+q(x,v,t),inΩTψ(x,v,0)=φ0(x,v),in∂Ω×Vψ(x,v,t)=φ(x,v,t),in∂Ω×V×R(1) where x represents the spatial variable in a domain D, v an element of a compact set V, ψ is the angular flux, h(x, v) the collision frequency, k(x, v, v’) the scattering kernel function and q(x, v) the source function. If ψ does not depend on the time, it is said that the problem (1) is a steady t

APA, Harvard, Vancouver, ISO, and other styles

2

Reifsnider, Kenneth, Rassel Raihan, and Prasun Majumdar. "Durability Methodologies for Material Systems." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57877.

Full text

Abstract:

In the present work, we are concerned with heterogeneous material systems that have multiple distinct materials and void phases, and associated interfaces, for which the geometric scale and specific morphology at the micro/nano-level play an essential role in the global properties, functional behavior, and material system performance. Such heterogeneous combinations of materials that are engineered to function together to create unique properties and performance that is a function of their interaction are called material systems. Engineered heterogeneous material systems are at the heart of re

APA, Harvard, Vancouver, ISO, and other styles

3

Wang, Yuefang, Lefeng Lu¨, and Lihua Huang. "Complex Eigenvalue Analysis and Nonlinear Transient Vibration of an Axially Moving String With an Attached Travelling Oscillator Under Wind Excitations." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28414.

Full text

Abstract:

The eigenvalue analysis and nonlinear dynamics of an axially moving string with an attached traveling oscillator excited by wind loadings are presented in this paper. The couplings in both of mass and stiffness between the string and the oscillator are considered. The Green’s function in an explicit form is obtained by the theorem of Green’s function construction, and the analytical transcendental equation is directly obtained. The maximum variance rate is defined to analyze the coupling strength of the subsystems. It is demonstrated that the first eigenvalue changes significantly when the nat

APA, Harvard, Vancouver, ISO, and other styles

4

Mazdeh, Alireza, and Reza Kashani. "The Impact of Perforation Geometry on Acoustic Damping Attributes of a Perforated Liner With Bias Flow." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-69727.

Full text

Abstract:

Acoustic damping properties of perforated liners are highly dependent on a number of variables which can be categorized as “flow variables” such as the extent and Mach number of grazing flow as well as bias flow and “geometric variable” such as the shape of the hole which can be rectangular, cylindrical, conical with diverging or converging nozzle, thickness to radius ratio, radius to hole spacing ratio and hole orientation which can be normal to or inclined with respect to the perforated plate. Many of these variables were not incorporated in previous studies. Theoretical and empirical approa

APA, Harvard, Vancouver, ISO, and other styles

5

Alazemi, Saad F., Ahmet S. Yigit, and Khaled A. Alhazza. "Optimum Design of Cantilevered Piezoelectric Harvester Based on Distributed Parameter Model." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47803.

Full text

Abstract:

In the past decade, there have been numerous studies which showed the feasibility of harvesting electrical energy from vibrating structures. The main goal of this study is first to generate a Finite Element (FE) model using ANSYS to verify an existing harvesting model. This FEM model can be used as a base for designing more complex harvesters. The second goal of this study is to optimize the parameters of a simple cantilever harvester to maximize the power generation from ambient mechanical energy. A distributed parameter model and its modal solution are used to identify the design variables t

APA, Harvard, Vancouver, ISO, and other styles

6

Ketelheun, Anja, Clemens Olbricht, Frederik Hahn, and Johannes Janicka. "Premixed Generated Manifolds for the Computation of Technical Combustion Systems." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59940.

Full text

Abstract:

Large eddy simulations (LES) show a good prediction accuracy at a decent computational cost for the simulation of combustion processes in complex geometries. However, the large grids required make the direct solution of detailed reaction kinetics impracticable. Therefore, the chemical reactions can be tabulated in a pre-processing step using detailed chemistry with one-dimensional laminar steady flamelets. These flamelets can be either non-premixed or premixed and are stored based on controlling variables like mixture fraction and reaction progress parameter, for example. In this work, a progr

APA, Harvard, Vancouver, ISO, and other styles

7

Li, Xinyi, Ting Ma, and Qiuwang Wang. "Optimal Thermal Design of Fin-and-Tube Heat Exchangers by Integration of a SUMT and a SCGM." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66227.

Full text

Abstract:

It is a recognized hard task for the traditional thermal design of compact heat exchangers to obtain the optimal geometric parameters efficiently and effectively, owing to its complex trial-and-error process. In response to this issue, a simplified conjugate-gradient method (SCGM) combined with a sequential unconstrained minimization technique (SUMT) as a favorable optimization technique is incorporated with the traditional thermal design in this study, and then the key geometric parameters of fin-and-tube heat exchangers (FTHEs) are investigated and optimized successfully. In this method, the

APA, Harvard, Vancouver, ISO, and other styles

8

Kuzmenko, M. L., I. N. Egorov, Yu N. Shmotin, and K. S. Fedechkin. "Optimization of the Gas Turbine Engine Parts Using Methods of Numerical Simulation." In ASME Turbo Expo 2007: Power for Land, Sea, and Air. ASMEDC, 2007. http://dx.doi.org/10.1115/gt2007-28205.

Full text

Abstract:

Modern computer technologies now allow us to conduct rather complex mathematical calculations in a relatively short period of time. Thus, it has become possible to employ optimization methods in the design of various parts of aircraft engines, even when calculations require large computational resources (structural, thermal, and gasdynamics calculations). The designer may have to vary more than a hundred design variables and constraints during the optimization process. Therefore the procedure of preparing the initial data for optimization may take a long time. That is why we developed the opti

APA, Harvard, Vancouver, ISO, and other styles

9

Sharma, Ratnesh K., Manish Marwah, and Wilfredo Lugo. "Application of Data Analytics to Heat Transfer Phenomena for Optimal Design and Operation of Complex Systems." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88550.

Full text

Abstract:

Heat transfer phenomena in complex physical systems like multiphase environments, multidimensional geometries can be difficult to capture in terms of correlations, analytical functions or numerical models using conventional techniques. Such systems are designed based on approximations, thumb-rules or semi-empirical correlations between parameters based on averaged values and are operated likewise using another set of rules derived from bulk thermodynamic performance parameters. With the development of nano-scale sensors and advanced data aggregation techniques, there is a need for analytical t

APA, Harvard, Vancouver, ISO, and other styles

10

Varfolomeyev, Igor, and Dieter Beukelmann. "Analytical Solutions and Tools for Assessment of Surface Cracks in Cylindrical Components." In ASME 2008 Pressure Vessels and Piping Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/pvp2008-61566.

Full text

Abstract:

The paper reviews some advanced stress intensity factor solutions derived for analyses of axial and circumferential surface cracks in cylindrical components subjected to variable stress fields. The solutions are examined considering their validity ranges with respect to the crack and cylinder geometry, ability to account for a complex stress distribution in the pipe wall, as well as their accuracy. A method for estimating errors in numerical stress intensity factor solutions is introduced and applied to a particular set of data. Examples of a leak-before-break assessment and crack growth calcu

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!