Search Results - classification ams::30 functions of a complex variable::30c geometric function theory*

A note about Mikhaïl Lavrentieff and his world of analysis in the Soviet Union (With an appendix by Galina Sinkevich)

Authors: Papadopoulos, Athanase Chebyshev Laboratory St Petersburg State University (SPbU)

Contributors: Papadopoulos, Athanase Chebyshev Laboratory St Petersburg State University (SPbU)

Subject Terms: 30C75, 37F30, Keywords: Mikhaïl, 30C35, quasiconformal mapping, theory of functions of a complex variable, theory of functions of a real variable, Mikhaïl A. Lavrentieff, history of quasiconformal mappings, Pavel A. Florensky, Nikolai N. Luzin, Akademgorodok, mathematics and religion, AMS classification: 30C20, 30C62, 30C70, 30C20, [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO], [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], edu

Relation: https://hal.archives-ouvertes.fr/hal-02406071/file/Lavrentieff-bio.pdf; https://hal.archives-ouvertes.fr/hal-02406071

Availability: https://hal.archives-ouvertes.fr/hal-02406071/file/Lavrentieff-bio.pdf
https://hal.archives-ouvertes.fr/hal-02406071

Lectures on the theory of functions of a complex variable. 2, Geometric theory / Giovanni Sansone, Johan Gerretsen.

Authors: Sansone, Giovanni (1888-1979). Gerretsen, Johan (1907- ).

Contributors: Sansone, Giovanni (1888-1979). Gerretsen, Johan (1907- ).

Subject Terms: Funkcje jednej zmiennej zespolonej, Teoria geometryczna funkcji

Access URL: http://katalog.nukat.edu.pl/lib/item?id=chamo:250769&theme=nukat

Geometric theory of functions of a complex variable / G. M. Goluzin.

Authors: Goluzin, Gennadij Mihajlovič (1906-1952).

Source: Bibliogr. s. 651-672. Indeks.

Other Title: Geometričeskaâ teoriâ funkcij kompleksnogo peremennogo

Access URL: http://katalog.nukat.edu.pl/lib/item?id=chamo:2328015&theme=nukat

Geometric function theory over quaternionic slice domains

Authors: Graziano Gentili Caterina Stoppato

Source: Journal of Mathematical Analysis and Applications. 495:124780

Subject Terms: 30G35, Functions of one quaternionic variable, Geometric function theory, Series expansions, Classification of singularities, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: http://arxiv.org/pdf/2008.06373
http://arxiv.org/abs/2008.06373
https://arxiv.org/pdf/2008.06373
https://arxiv.org/abs/2008.06373v1
https://ui.adsabs.harvard.edu/abs/2020arXiv200806373G/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022247X20309434

Questions around the Nontrivial Zeros of the Riemann Zeta-Function. Computations and Classifications.

Source: Mathematical Modelling & Analysis; 2011, Vol. 16 Issue 1, p72-81, 10p

Subject Terms: ZERO (The number), ZETA functions, MATHEMATICAL sequences, GEOMETRIC connections, CLASSIFICATION, DISTRIBUTION (Probability theory), FRACTIONAL calculus

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

Regular quaternionic polynomials and their properties.

Authors: Grigor’ev, Yu. M.

Source: Complex Variables & Elliptic Equations; Sep2017, Vol. 62 Issue 9, p1343-1363, 21p

Subject Terms: MATHEMATICAL complex analysis, GEOMETRIC function theory, QUATERNIONS, POLYNOMIALS, CLIFFORD algebras

Neighborhood Properties for k-Uniformly Starlike Functions.

Authors: Orouji, Zahra Aghalary, Rasul

Source: Punjab University Journal of Mathematics; 2019, Vol. 51 Issue 7, p43-49, 7p

Subject Terms: HYPERGEOMETRIC functions, EQUATIONS, GEOMETRIC function theory, MATHEMATICS theorems, POCHHAMMER-Chree frequency equations

Corrigendum to ‘Certain geometric properties of the Wright function’.

Authors: Mustafa, N. Prajapat, J.K.

Source: Integral Transforms & Special Functions; Aug2016, Vol. 27 Issue 8, p683-684, 2p

Subject Terms: GEOMETRIC analysis, INTEGRAL operators, OPERATOR theory, UNIVALENT functions, MATHEMATICAL analysis

The Goluzin school of geometric theory of functions of a complex variable. I., II

Authors: Alenitsyn, Yu. E. Grinshpan, A. Z. Emel'yanov, E. G. et al.

Subject Terms: Leningrad (St. Petersberg), Milin conjecture, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Geometric function theory, Bieberbach conjecture, geometric function theory

File Description: application/xml

Access URL: https://zbmath.org/1623049

Describing Shapes by Geometrical-Topological Properties of Real Functions.

Authors: LANDI, S. BIASOTTI C. DE FLORIANI, L. PAPALEO, L. et al.

Source: ACM Computing Surveys; Oct2008, Vol. 40 Issue 4, p12:1-12:87, 87p, 24 Diagrams, 6 Charts, 3 Graphs

Subject Terms: GEOMETRIC shapes, MATHEMATICAL functions, MORSE theory, TOPOLOGY, SHAPE theory (Topology), QUANTITATIVE research

Jack's Lemma for Certain Subclasses of Analytic Functions Defined by A New Fractional Linear Operator.

Authors: Abdulnaby, Zainab E. Ibrahim, Rabha W. Adem Kııçıman

Source: AIP Conference Proceedings; 2017, Vol. 1795 Issue 1, p020020-1-020020-6, 6p

Subject Terms: ANALYTIC functions, FUNCTION algebras, LINEAR operators, MATHEMATICAL functions, GEOMETRIC function theory

Inequalities for some functions related to the confluent hyper geometric function.

Authors: Batahan, Raed S. Shehata, Ayman

Source: Al-Andalus journal for Humanities & Social Sciences; 2020, Issue 30, p56-64, 9p

Subject Terms: WHITTAKER functions, HYPERGEOMETRIC functions, MATHEMATICAL equivalence, GAMMA functions, ERROR functions

Modern methods of the geometric theory of functions of a complex variable in approximation problems

Authors: Belyĭ, V. I.

Subject Terms: General theory of conformal mappings, cross-section, conformal capacity, conformal mapping, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Quasiconformal mappings in the complex plane, direct theorem, Approximation in the complex plane, Riemannian function, Approximation by other special function classes, conformal invariant, modulus of continuity, polynomial approximation, distortion, rational approximation

File Description: application/xml

Access URL: https://zbmath.org/1166336

Symmetrization in the geometric theory of functions of a complex variable

Authors: Vladimir Nikolaevich Dubinin

Source: Russian Mathematical Surveys. 49:1-79

Subject Terms: Geometric function theory, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://iopscience.iop.org/0036-0279/49/1/R01
https://iopscience.iop.org/article/10.1070/RM1994v049n01ABEH002002/pdf
https://ui.adsabs.harvard.edu/abs/1994RuMaS..49....1D/abstract
http://iopscience.iop.org/article/10.1070/RM1994v049n01ABEH002002/meta
https://iopscience.iop.org/article/10.1070/RM1994v049n01ABEH002002/meta

The Abelian–Nonabelian Correspondence for I-Functions.

Authors: Webb, Rachel

Source: IMRN: International Mathematics Research Notices; Feb2023, Vol. 2023 Issue 3, p2592-2648, 57p

Subject Terms: HYPERSURFACES, THETA functions, TORUS, GEOMETRIC invariant theory

From Quantum Curves to Topological String Partition Functions II.

Authors: Coman, Ioana Longhi, Pietro Teschner, Jörg

Source: Annales Henri Poincaré; Dec2025, Vol. 26 Issue 12, p4271-4365, 95p

Subject Terms: PARTITION functions, CALABI-Yau manifolds, GEOMETRIC quantization, WKB approximation, DIFFERENTIAL operators, MATHEMATICAL functions, SUPERSYMMETRY, MODULI theory

GEOMETRIC COMPUTATION OF CURVATURE DRIVEN PLANE CURVE EVOLUTIONS.

Authors: Cao, Frédéric Moisan, Lionel

Source: SIAM Journal on Numerical Analysis; 2001, Vol. 39 Issue 2, p624-646, 23p

Subject Terms: GEOMETRIC function theory, CURVATURE, LIPSCHITZ spaces, MONOTONE operators, COMPLEX variables, OPERATOR theory

LUCAS POLYNOMIALS AND APPLICATIONS TO AN UNIFIED CLASS OF BI-UNIVALENT FUNCTIONS EQUIPPED WITH (P;Q)-DERIVATIVE OPERATORS.

Authors: ALTINKAYA, ŞAHSENE YALÇIN, SIBEL

Source: TWMS Journal of Pure & Applied Mathematics; 2020, Vol. 11 Issue 1, p100-108, 9p

Subject Terms: POLYNOMIALS, METHODOLOGY, GEOMETRIC function theory, DIFFERENTIAL operators, COEFFICIENTS (Statistics)

A Geometric Based Connection between Fractional Calculus and Fractal Functions.

Authors: Liang, Yong Shun Su, Wei Yi

Source: Acta Mathematica Sinica; Feb2024, Vol. 40 Issue 2, p537-567, 31p

Subject Terms: GEOMETRIC connections, FRACTIONAL calculus, FRACTAL dimensions, FRACTALS, HOLDER spaces, FRACTIONAL integrals, CONTINUOUS functions, INTEGRAL functions