A truncated second main theorem for algebraic tori with moving targets and applications

Authors: Guo, Ji, Sun, Chia-Liang, Wang, Julie Tzu-Yueh

Source: Journal of the London Mathematical Society. 106:3670-3686

Subject Terms: Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, General properties of functions of one complex variable, 30D35 (Primary), 30A70, 11J97(Secondary)

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Access URL: http://arxiv.org/abs/2103.16087
https://zbmath.org/8027266
https://doi.org/10.1112/jlms.12670

Reasoning about the Elementary Functions of Complex Analysis: Reasoning about the elementary functions of complex analysis

Authors: Stephen M. Watt, David J. Jeffrey, Robert M. Corless, James H. Davenport, Russell Bradford

Source: Lecture Notes in Computer Science ISBN: 9783540420712

Subject Terms: complex identities, elementary functions, Riemann surface, Elementary functions, 0101 mathematics, multi-valued function, 01 natural sciences, General properties of functions of one complex variable, branch cuts

File Description: application/xml

Access URL: https://rd.springer.com/chapter/10.1007%2F3-540-44990-6_9
https://link.springer.com/article/10.1023%2FA%3A1016007415899
http://www.cecm.sfu.ca/~mmonagan/research/MITACS/papers/corless.pdf
https://www.csd.uwo.ca/~watt/pub/reprints/2002-amai-reasoning.pdf
https://dblp.uni-trier.de/db/conf/aisc/aisc2000.html#CorlessDJLW00
https://link.springer.com/10.1007%2F3-540-44990-6_9

An intermediate value theorem for asymptotic values

Authors: J. R. Wordsworth

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 138:129-134

Subject Terms: MacLane class, Special properties of functions of several variables, Hölder conditions, etc, boundary path, Continuity and differentiation questions, 0101 mathematics, subharmonic function, 01 natural sciences, General properties of functions of one complex variable

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Access URL: https://zbmath.org/2157969
https://doi.org/10.1017/s0305004104007844
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/div-classtitlean-intermediate-value-theorem-for-asymptotic-valuesdiv/DDDB6475B4BE37CA0BAD04BF85049DB1
https://ui.adsabs.harvard.edu/abs/2005MPCPS.138..129W/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=1105926

Atoms and regularity for measures in a partially defined free convolution semigroup

Authors: S. T. Belinschi, Hari Bercovici

Source: Mathematische Zeitschrift. 248:665-674

Subject Terms: Free probability and free operator algebras, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences, Analytic continuation of functions of one complex variable, General properties of functions of one complex variable

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Access URL: https://zbmath.org/2131998
https://doi.org/10.1007/s00209-004-0671-y
https://link.springer.com/article/10.1007/s00209-004-0671-y
https://dialnet.unirioja.es/servlet/articulo?codigo=2807310
https://documat.unirioja.es/servlet/articulo?codigo=2807310

Harmonic Liouville Theorem for Exterior Domains: Harmonic Liouville theorem for exterior domains

Authors: Mitsuru Nakai, Toshimasa Tada

Source: Journal of Mathematical Analysis and Applications. 253:269-273

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Liouville type theorem, harmonic function, Applied Mathematics, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, 0101 mathematics, exterior domain, Picard principle, 01 natural sciences, harmonic functions, Analysis, General properties of functions of one complex variable

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Access URL: http://www.sciencedirect.com/science/article/pii/S0022247X00971117
https://www.sciencedirect.com/science/article/pii/S0022247X00971117
https://core.ac.uk/display/82774302
https://www.sciencedirect.com/science/article/abs/pii/S0022247X00971117

Riesz's functions and Carleson inequalities

Authors: Nakazi, T.

Source: Mathematical Inequalities & Applications. :383-390

Subject Terms: Carleson in­equality, Riesz's function, Banach spaces of continuous, differentiable or analytic functions, Bergman disc, Bergman space, weight, Carleson inequality, 0101 mathematics, interpolation sequence, 01 natural sciences, Special classes of linear operators, General properties of functions of one complex variable

File Description: application/xml

Access URL: http://files.ele-math.com/abstracts/mia-02-34-abs.pdf
https://zbmath.org/1332953
https://doi.org/10.7153/mia-02-34
http://mia.ele-math.com/02-34
https://core.ac.uk/display/157693968

Stability of the convex Pompeiu sets

Authors: Fausto Segala

Source: Annali di Matematica Pura ed Applicata. 175:295-306

Subject Terms: Pompeiu problem, Pompeiu convex domains, 0103 physical sciences, 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable, stationary phase method

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Access URL: https://zbmath.org/1471608
https://doi.org/10.1007/bf01783689
https://link.springer.com/article/10.1007/BF01783689
https://link.springer.com/content/pdf/10.1007/BF01783689.pdf

n-Dimensional dual complex numbers: \(n\)-dimensional dual complex numbers

Authors: Paul Fjelstad, Sorin G. Gal

Source: Advances in Applied Clifford Algebras. 8:309-322

Subject Terms: 0103 physical sciences, derivative, dual complex numbers, 01 natural sciences, General properties of functions of one complex variable

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF03043102
https://link.springer.com/content/pdf/10.1007/BF03043102.pdf

CALCULUS ON ARCS IN THE COMPLEX PLANE: Calculus on arcs in the complex plane

Authors: Dieter Gaier

Source: Analysis. 18:291-302

Subject Terms: General properties of functions of one complex variable

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Access URL: https://zbmath.org/1247530
https://doi.org/10.1524/anly.1998.18.3.291
http://www.degruyter.com/downloadpdf/j/anly.1998.18.issue-3/anly.1998.18.3.291/anly.1998.18.3.291.xml

A Uniqueness Theorem for Bounded Analytic Functions: A uniqueness theorem for bounded analytic functions

Authors: Kristian Seip, Yurii Lyubarskii

Source: Bulletin of the London Mathematical Society. 29:49-52

Subject Terms: essential minorant, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, uniqueness theorem, 01 natural sciences, General properties of functions of one complex variable

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Access URL: https://zbmath.org/1028840
https://doi.org/10.1112/s0024609396001816
http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=18780
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024609396001816

Algebras of holomorphic functions with Hadamard multiplication

Authors: Andreas Sauer, Hermann Render

Source: Studia Mathematica. 118:77-100

Subject Terms: General theory of commutative topological algebras, Hadamard product, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, non-invertible elements, multiplicative functional, \(B_ 0\)-algebras, 0101 mathematics, continuous, 01 natural sciences, algebras of holomorphic functions, Automatic continuity, General properties of functions of one complex variable

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/109418?download.pdf
https://zbmath.org/894286
https://doi.org/10.4064/sm-118-1-77-100
https://www.impan.pl/get/doi/10.4064/sm-118-1-77-100
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-smv118i1p77bwm

Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product

Authors: Render, Hermann, Sauer, Andreas

Source: Studia Mathematica. 121:53-65

Subject Terms: Hadamard-isomorphic, General theory of commutative topological algebras, isomorphic algebras with respect to the Hadamard product, \(B_ 0\)-algebras, homomorphisms, 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable

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Access URL: https://zbmath.org/957468

Ordinary and strong density continuity of complex analytic functions

Authors: Krzysztof Ciesielski

Source: Periodica Mathematica Hungarica. 31:11-20

Subject Terms: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, 0103 physical sciences, Continuity and differentiation questions, 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable

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Access URL: https://zbmath.org/894305
https://doi.org/10.1007/bf01876348
https://link.springer.com/article/10.1007/BF01876348
http://www.math.wvu.edu/~kcies/Other/ElectronicReprints/40.pdf

Forcing sequences of positive integers

Authors: Daniel Hershkowitz, Gershon Hanoch

Source: Czechoslovak Mathematical Journal. 45:149-169

Subject Terms: forcing sequence, arithmetic sequences, sequence of positive integers, minimal forcing sequences, 0102 computer and information sciences, geometric sequences, 0101 mathematics, Special sequences, 01 natural sciences, General properties of functions of one complex variable

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Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/128503/CzechMathJ_45-1995-1_11.pdf
https://zbmath.org/797129
https://doi.org/10.21136/cmj.1995.128503
https://dml.cz/bitstream/handle/10338.dmlcz/128503/CzechMathJ_45-1995-1_11.pdf

On $(j,k)$-symmetrical functions: On \((j,k)\)-symmetrical functions

Authors: Piotr Liczberski, Jerzy Połubiński

Source: Mathematica Bohemica. 120:13-28

Subject Terms: Holomorphic functions of several complex variables, Inequalities in the complex plane, 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable

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Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/125897/MathBohem_120-1995-1_2.pdf
https://dml.cz/bitstream/handle/10338.dmlcz/125897/MathBohem_120-1995-1_2.pdf

On the Stability of Interval Families of Characteristic Functions Depending Linearly on Parameters: On the stability of interval families of characteristic functions depending linearly on parameters

Authors: F.G. Boese

Source: Journal of Mathematical Analysis and Applications. 188:472-499

Subject Terms: Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, parametric family, Applied Mathematics, holomorphic functions, 0202 electrical engineering, electronic engineering, information engineering, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Stabilization of systems by feedback, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, 02 engineering and technology, Stability theory for smooth dynamical systems, Analysis, General properties of functions of one complex variable

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Access URL: https://core.ac.uk/display/82558177
https://www.sciencedirect.com/science/article/pii/S0022247X84714417
https://www.sciencedirect.com/science/article/abs/pii/S0022247X84714417

On the holomorphy of functions setting angle-preserving transformations

Authors: D. S. Telyakovskii

Source: Mathematical Notes. 56:1200-1204

Subject Terms: 0103 physical sciences, 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF02274672.pdf
https://link.springer.com/article/10.1007/BF02274672

Morera and mean-value type theorems in the hyperbolic disk

Authors: Daniel Pascuas, Carlos A. Berenstein

Source: Israel Journal of Mathematics. 86:61-106

Subject Terms: Harmonic analysis on homogeneous spaces, mean-value type theorems, 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable

File Description: application/xml

Access URL: https://zbmath.org/590935
https://doi.org/10.1007/bf02773674
https://link.springer.com/article/10.1007%2FBF02773674
https://link.springer.com/content/pdf/10.1007/BF02773674.pdf

Commutants of the Pommiez operator

Authors: Dimovski, Ivan H., Hristov, Valentin Z.

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 8, Pp 1239-1251 (2005)

Subject Terms: Department of Complex Analysis, Linear operators on function spaces (general), QA1-939, Pommiez operator, commutant, spaces of holomorphic functions, 0101 mathematics, Runge domain, 01 natural sciences, Mathematics, General properties of functions of one complex variable

File Description: application/xml

Access URL: https://zbmath.org/2236239
https://doi.org/10.1155/ijmms.2005.1239
https://doaj.org/article/96a07f7ba54a49209e33d4f135dea10e
https://downloads.hindawi.com/journals/ijmms/2005/584354.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2005.html#DimovskiH05
https://doi.org/10.1155/IJMMS.2005.1239
https://www.hindawi.com/journals/ijmms/2005/584354/
https://eudml.org/doc/52567
https://hdl.handle.net/10525/3897

On pseudoanalyticity of continuous functions with constant ?-extension: On pseudoanalyticity of continuous functions with constant \(\sigma\)- extension

Authors: E. A. Luk'yanova, A. V. Bondar

Source: Ukrainian Mathematical Journal. 45:490-496

Subject Terms: 0101 mathematics, 01 natural sciences, General properties of functions of one complex variable

File Description: application/xml

Access URL: https://zbmath.org/635742
https://doi.org/10.1007/bf01062944
https://link.springer.com/article/10.1007/BF01062944
https://link.springer.com/content/pdf/10.1007/BF01062944.pdf