Search Results - Functions of a complex variable Function theory on the disc

Geometric Theory of Functions of a Complex Variable

Authors: G. M. Goluzin

Resource Type: eBook.

Subjects: Functions of complex variables--Problems, exercises, etc

Categories: MATHEMATICS / Topology, MATHEMATICS / Geometry / General

Fractional Iteration and Functional Equations for Functions Analytic in the Unit Disk: Fractional iteration and functional equations for functions analytic in the unit disk

Authors: David Shoikhet Simeon Reich Mark Elin et al.

Source: Computational Methods and Function Theory. 2:353-366

Subject Terms: Kœnigs function, infinitesimal generator, fractional iteration, Iteration theory, iterative and composite equations, Functional equations for complex functions, embeddability, functional equation, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, semigroup of analyitc functions

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Access URL: https://link.springer.com/article/10.1007/BF03321854
https://link.springer.com/content/pdf/10.1007/BF03321854.pdf

Best Möbius Approximations of Convex and Concave Mappings: Best Möbius approximations of convex and concave mappings

Authors: Chuaqui, Martin Osgood, Brad

Source: Computational Methods and Function Theory. 25:139-149

Subject Terms: General theory of conformal mappings, Mathematics - Complex Variables, Polygons, convex mappings, Concave mappings, best Möbius approximation, concave mappings, polygons, Primary 30C45, Secondary 30C30, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Convex mappings, FOS: Mathematics, Blaschke product, Complex Variables (math.CV), Best Mobius approximation

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Access URL: http://arxiv.org/abs/2308.03911
https://zbmath.org/8023218
https://doi.org/10.1007/s40315-023-00517-0

A generalization of close-to-starlike functions regular in a disc to the case of several complex variables

Authors: Bavrin, I. I.

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), close-to-starlike functions, class of Caratheodory functions, Other generalizations of function theory of one complex variable

File Description: application/xml

Access URL: https://zbmath.org/3672680

Extremal Problems of Function Theory Connected with the n-Fold Symmetry.

Authors: Dubinin, V. N. Kostyuchenko, E. V.

Source: Journal of Mathematical Sciences. Nov2003, Vol. 118 Issue 1, p4778-4794. 17p.

Subject Terms: *COMPLEX variables, *GEOMETRIC function theory, *SYMMETRY, *EXTREMAL problems (Mathematics), *CONFIGURATION space, *MATHEMATICS

On the Hilbert formulas on the unit circle for α-hyperholomorphic function theory.

Authors: Bory Reyes, J. Abreu Blaya, R. Pérez-de la Rosa, M. A. et al.

Source: Complex Variables & Elliptic Equations; Nov2018, Vol. 63 Issue 11, p1509-1528, 20p

Subject Terms: HILBERT functions, SINGULAR integrals, GRAPH theory, BOUNDARY value problems, MATHEMATICAL models

Representation of regular functions by series of Mittag-Leffler functions in a closed disk

Authors: Yu. I. Mel'nik

Source: Ukrainian Mathematical Journal. 30:86-91

Subject Terms: Mittag-Leffler function, entire function of order ro, Representations of entire functions of one complex variable by series and integrals, 0103 physical sciences, Dirichlet series, exponential series and other series in one complex variable, Other generalizations of function theory of one complex variable, representation of entire functions by series, 0101 mathematics, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/BF01130639

Geometric Function Theory and Related Topics

Authors: Sudeb Mitra Rakesh Kumar Parmar Saminathan Ponnusamy et al.

Resource Type: eBook.

Subjects: Geometric function theory--Congresses, Several complex variables and analytic spaces--D, Functions of a complex variable--Geometric funct, Dynamical systems and ergodic theory--Complex dy, Functions of a complex variable--Riemann surface, Dynamical systems and ergodic theory--Low-dimens, Special functions--Hypergeometric functions--G, Geometry--Real and complex geometry--Hyperboli

Categories: MATHEMATICS / Geometry / General, MATHEMATICS / Functional Analysis

Hayman’s Alternative and Normal Families of Non-vanishing Meromorphic Functions: Hayman's alternative and normal families of non-vanishing meromorphic functions

Authors: Jürgen Grahl

Source: Computational Methods and Function Theory. 2:481-508

Subject Terms: non-vanishing, meromorphic function, Entire and meromorphic solutions to ordinary differential equations in the complex domain, Normal functions of one complex variable, normal families, 0101 mathematics, 01 natural sciences, Hayman's alternative, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, normal family

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Access URL: https://link.springer.com/article/10.1007/BF03321861

Complex Function Theory

Authors: Donald Sarason

Resource Type: eBook.

Subjects: Functions of complex variables

Categories: MATHEMATICS / Functional Analysis, MATHEMATICS / Complex Analysis

Approximation of Univalent Functions by Compositions: Approximation of univalent functions by compositions

Authors: Alexander P. Kuznetsov

Source: Computational Methods and Function Theory. 3:485-499

Subject Terms: General theory of conformal mappings, Loewner-Kufarev equation, slit mapping, General theory of univalent and multivalent functions of one complex variable, univalent function, approximation

File Description: application/xml

Access URL: https://zbmath.org/2112951
https://doi.org/10.1007/bf03321050
https://link.springer.com/content/pdf/10.1007/BF03321050.pdf
https://link.springer.com/article/10.1007/BF03321050

Bloch constants for meromorphic functions near an isolated singularity

Authors: David Minda

Source: Proceedings of the American Mathematical Society. 91:69-72

Subject Terms: Bloch constants, Geometric function theory, 4. Education, unramified disk, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Covering theorems in conformal mapping theory, Entire and meromorphic functions of one complex variable, and related topics, isolated essential singularity

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Access URL: https://www.ams.org/proc/1984-091-01/S0002-9939-1984-0735566-6/S0002-9939-1984-0735566-6.pdf
https://zbmath.org/3867658
https://doi.org/10.2307/2045271
https://www.ams.org/journals/proc/1984-091-01/S0002-9939-1984-0735566-6/home.html
https://www.ams.org/proc/1984-091-01/S0002-9939-1984-0735566-6/S0002-9939-1984-0735566-6.pdf

Effect of Creatine Monohydrate Supplementation on Macro- and Microvascular Endothelial Function in Older Adults: A Pilot Study.

Authors: Clarke, Holly E. Akhavan, Neda S. Behl, Taylor A. et al.

Source: Nutrients. Jan2025, Vol. 17 Issue 1, p58. 16p.

Inhomogeneous Hilbert Boundary-Value Problem with a Finite Number of Second-Type Singularity Points.

Authors: Fatykhov, A. Kh. Shabalin, P. L.

Source: Journal of Mathematical Sciences; Jan2021, Vol. 252 Issue 3, p436-444, 9p

Subject Terms: MATHEMATICAL complex analysis, GEOMETRIC function theory, ANALYTIC functions, INTEGRAL functions, DISCONTINUOUS functions

A Version of the Lohwater-Pommerenke Theorem for Strongly Normal Functions: A version of the Lohwater-Pommerenke theorem for strongly normal functions

Authors: Rauno Aulaskari Hasi Wulan

Source: Computational Methods and Function Theory. 1:99-105

Subject Terms: Normal functions of one complex variable, normal families, Blaschke products, etc, 0101 mathematics, 01 natural sciences, normal function in the unit disk

File Description: application/xml

Access URL: https://zbmath.org/1833059
https://doi.org/10.1007/bf03320980
https://link.springer.com/content/pdf/10.1007/BF03320980.pdf
https://link.springer.com/article/10.1007/BF03320980

Fixed Points of Univalent Functions: Fixed points of univalent functions

Authors: Tatevik L. Gharibyan Gerald Schmieder

Source: Computational Methods and Function Theory. 3:299-304

Subject Terms: nowhere dense, univalent functions, fixed points, cluster set, General theory of univalent and multivalent functions of one complex variable, Cluster sets, prime ends, boundary behavior

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Access URL: https://zbmath.org/2112940
https://doi.org/10.1007/bf03321039
https://link.springer.com/content/pdf/10.1007/BF03321039.pdf

Two-point distortion theorems for univalent functions

Authors: Kim, Seong-A. Minda, David

Source: Pacific J. Math. 163, no. 1 (1994), 137-157

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convex univalent functions, General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, 30C45, hyperbolic geometry, 01 natural sciences, 30C55, Conformal metrics (hyperbolic, Poincaré, distance functions), distortion theorems

File Description: application/xml; application/pdf

Access URL: http://msp.org/pjm/1994/163-1/pjm-v163-n1-p07-s.pdf
https://zbmath.org/537377
https://doi.org/10.2140/pjm.1994.163.137
https://msp.org/pjm/1994/163-1/p07.xhtml
https://projecteuclid.org/handle/euclid.pjm/1102622632
https://msp.org/pjm/1994/163-1/pjm-v163-n1-p07-s.pdf
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102622632
http://projecteuclid.org/euclid.pjm/1102622632

Milin's coefficients, complex geometry of Teichmüller spaces and variational calculus for univalent functions.

Authors: Krushkal, Samuel L.

Source: Georgian Mathematical Journal. Sep2014, Vol. 21 Issue 3, p313-332. 20p.

Subject Terms: *TEICHMULLER spaces, *FUNCTIONS of several complex variables, *RIEMANN surfaces, *CALCULUS, *MATHEMATICAL analysis, *UNIVALENT functions

Extreme Bloch Functions and Summation Methods for Bloch Functions: Extreme Bloch functions and summation methods for Bloch functions

Authors: K. J. Wirths

Source: Constructive Approximation. 15:427-440

Subject Terms: summation methods, Approximation to limiting values (summation of series, etc.), Geometric function theory, Bloch functions, Normal functions of one complex variable, normal families, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007%2Fs003659900115.pdf
https://link.springer.com/article/10.1007/s003659900115

Partial sums of certain classes of analytic functions.

Authors: Owa *, Shigeyoshi Srivastava, H. M. Saito, Nobuyuki

Source: International Journal of Computer Mathematics. Oct2004, Vol. 81 Issue 10, p1239-1256. 18p.

Subject Terms: Geometric function theory, Complex variables, Partial sums (Series), Analytic functions, Elliptic functions, Computer arithmetic