ON A CLASS OF POLYA PROPERTY PRESERVING OPERATORS: On a class of Pólya property preserving operators

Authors: Chiu-Cheng Chang

Source: Tamkang Journal of Mathematics. 27:301-313

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, polynomial series, kernel, Pólya property, duality, 0101 mathematics, Approximation in the complex plane, Borel transform, integral representation, locally holomorphic, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, entire functions of exponential type

File Description: application/xml

Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/3959/1217
https://zbmath.org/978104
https://zbmath.org/1023060
https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3959

Composition operators on the polydisc

Authors: Łukasz Kosiński

Source: Journal of Functional Analysis. 284:109801

Subject Terms: Mathematics - Functional Analysis, Holomorphic functions of several complex variables, Mathematics - Complex Variables, composition operators, polydisc, Bergman spaces, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Special classes of linear operators, Entire and meromorphic functions of one complex variable, and related topics, Functional Analysis (math.FA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2206.14758
https://zbmath.org/7640889
https://doi.org/10.1016/j.jfa.2022.109801
https://ruj.uj.edu.pl/xmlui/handle/item/305660

On boundary behavior of holomorphic components of bianalytic functions

Authors: V. I. Danchenko, E. P. Dolzhenko

Source: Journal of Mathematical Sciences. 126:1586-1592

Subject Terms: bianalytic function, angular boundary limits, Cluster sets, prime ends, boundary behavior, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://zbmath.org/2193561
https://doi.org/10.1007/s10958-005-0047-9
https://link.springer.com/article/10.1007/s10958-005-0047-9

Sums of exponential functions having only real zeros

Authors: David A. Cardon

Source: manuscripta mathematica. 113:307-317

Subject Terms: 0103 physical sciences, zeros, sums, exponential functions, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00229-003-0414-0
https://rd.springer.com/article/10.1007/s00229-003-0414-0
https://dialnet.unirioja.es/servlet/articulo?codigo=2804606
https://www.infona.pl/resource/bwmeta1.element.springer-514dc60f-c1aa-357d-a1dc-9898c7c5366a
https://documat.unirioja.es/servlet/articulo?codigo=2804606
https://math.byu.edu/cardon/papers/exp_sums_manuscripta.pdf

Constructing Multiply Connected Quadrature Domains: Constructing multiply connected quadrature domains

Authors: Jonathan Marshall, Darren Crowdy

Source: SIAM Journal on Applied Mathematics. 64:1334-1359

Subject Terms: quadrature domain, conformal mapping, analytic, Miscellaneous topics of analysis in the complex plane, Conformal mappings of special domains, holomorphic, 0101 mathematics, connected, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://epubs.siam.org/doi/pdf/10.1137/S0036139903438545

Periodic Quasiregular Mappings of Finite Order: Periodic quasiregular mappings of finite order

Authors: Drasin, David, Sastry, Swati

Source: Rev. Mat. Iberoamericana 19, no. 3 (2003), 755-766

Subject Terms: power mapping, periodic quasiregular mapping, Capacity and harmonic measure in the complex plane, Zorich function, 30C85, Zoric function, 30D99, 01 natural sciences, 30C65, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, 0103 physical sciences, order of quasiregular mapping, 0101 mathematics, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml; application/pdf

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=19&iss=3&rank=1
https://www.ems-ph.org/doi/10.4171/RMI/368
https://projecteuclid.org/download/pdf_1/euclid.rmi/1077293804
https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-19/issue-3/Periodic-Quasiregular-Mappings-of-Finite-Order/rmi/1077293804.full
https://dialnet.unirioja.es/servlet/articulo?codigo=815368
https://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=19&iss=3&rank=1
http://projecteuclid.org/euclid.rmi/1077293804

Entire functions having a concordant value sequence

Authors: Pila, J

Source: Israel Journal of Mathematics. 134:317-343

Subject Terms: 0101 mathematics, Diophantine approximation, transcendental number theory, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF02787411
https://ora.ox.ac.uk/objects/uuid:44cfd2d2-b003-499d-968f-f4710560e972
https://doi.org/10.1007/bf02787411

J-inner matrix functions, interpolation and inverse problems for canonical systems, IV: Direct and inverse bitangential input scattering problems: \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems

Authors: Harry Dym, D. Z. Arov

Source: Integral Equations and Operator Theory. 43:1-67

Subject Terms: integral equation, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), scattering problem, holomorphic matrix-valued function, Inverse problems involving ordinary differential equations, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, Weyl theory and its generalizations for ordinary differential equations

File Description: application/xml

Access URL: https://zbmath.org/1754737
https://doi.org/10.1007/bf01196514
https://link.springer.com/article/10.1007%2FBF01196513

Asymptotic zero distribution of sections and tails of Mittag–Leffler functions: Asymptotic zero distribution of sections and tails of Mittag-Leffler functions

Authors: Zheltukhina, N.

Source: Comptes Rendus Mathématique
Comptes Rendus Mathematique

Subject Terms: Tails, Mittag-Leffler function, JFM 50.0257.01, Zero Distribution, 0101 mathematics, Sections, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, Lindel�f Functions, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

File Description: application/xml; application/pdf

Access URL: http://repository.bilkent.edu.tr/bitstream/11693/11226/1/10.1016-S1631-073X%2802%2902442-1.pdf
https://zbmath.org/1803915
https://doi.org/10.1016/s1631-073x(02)02442-1
https://www.sciencedirect.com/science/article/pii/S1631073X02024421
https://www.sciencedirect.com/science/article/abs/pii/S1631073X02024421
https://hdl.handle.net/11693/11226
https://hdl.handle.net/11693/24675

Local description of closed submodules of a special module of entire functions of exponential type: Local description of closed submodules of a special module of entire functions of exponential type.

Authors: I F Krasichkov-Ternovskii, A B Shishkin

Source: Sbornik: Mathematics. 192:1621-1638

Subject Terms: entire function of exponential type, \(\pi\)-symmetric sets, Polynomials and rational functions of one complex variable, Spaces of bounded analytic functions of one complex variable, closed submodules, \(\pi\)-symmetric functions, Topological linear spaces of continuous, differentiable or analytic functions, stability, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: http://www.osti.gov/scitech/biblio/21205649-local-description-closed-submodules-special-module-entire-functions-exponential-type
https://ui.adsabs.harvard.edu/abs/2001SbMat.192.1621K/abstract

On entire solutions of a certain type of nonlinear differential equation

Authors: Yang, CC

Source: Bulletin of the Australian Mathematical Society. 64:377-380

Subject Terms: 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/259E003A4D3B366208293206EED17C59/S0004972700019845a.pdf/div-class-title-on-entire-solutions-of-a-certain-type-of-nonlinear-differential-equation-div.pdf
https://zbmath.org/1717642
https://doi.org/10.1017/s0004972700019845
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/on-entire-solutions-of-a-certain-type-of-nonlinear-differential-equation/259E003A4D3B366208293206EED17C59
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/259E003A4D3B366208293206EED17C59/S0004972700019845a.pdf/div-class-title-on-entire-solutions-of-a-certain-type-of-nonlinear-differential-equation-div.pdf
https://repository.ust.hk/ir/Record/1783.1-23894

On the Proximate Order of Growth of Generating Functions of Pólya Frequency Sequences: On the proximate order of growth of generating functions of Pólya frequency sequences

Authors: Maria Teresa Alzugaray

Source: Computational Methods and Function Theory. 1:433-455

Subject Terms: multiply positive sequences, Pólya frequency sequences, Mathematics - Complex Variables, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Power series (including lacunary series) in one complex variable, 30B10,30B40,30D99, total positivity, FOS: Mathematics, generating function, proximate order, Complex Variables (math.CV), 0101 mathematics, Production models, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: http://arxiv.org/abs/math/0210429
https://zbmath.org/1851119
https://doi.org/10.1007/bf03321001
https://link.springer.com/article/10.1007/BF03321001
http://ui.adsabs.harvard.edu/abs/2002math.....10429A/abstract
https://link.springer.com/content/pdf/10.1007/BF03321001.pdf

A Note on the Characteristics of Möbius Transformations, II: A note on the characteristics of Möbius transformations. II

Authors: Piyapong Niamsup

Source: Journal of Mathematical Analysis and Applications. 261:151-158

Subject Terms: General theory of conformal mappings, Schwarzian derivative, Möbius transformations, Möbius transformation, Applied Mathematics, Newton derivative, Conformal mappings of special domains, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, Analysis, Netwon derivative

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X01974852
https://www.sciencedirect.com/science/article/pii/S0022247X00968884
https://core.ac.uk/display/82534678

J-inner matrix functions, interpolation and inverse problems for canonical systems, III: More on the inverse monodromy problem: \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem

Authors: Arov, Damir Z., Dym, Harry

Source: Integral Equations and Operator Theory. 36:127-181

Subject Terms: Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

File Description: application/xml

On families of Cauchy transforms and BMOA

Authors: El-Bachir Yallaoui, Yusuf Abu Muhanna

Source: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 68:357-364

Subject Terms: Normal functions of one complex variable, normal families, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/811BF0F1FECDEF23EE2E5519590D9EB4/S1446788700001452a.pdf/div-class-title-on-families-of-cauchy-transforms-and-bmoa-div.pdf
https://zbmath.org/1495756
http://www.journals.cambridge.org/abstract_S1446788700001452
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/on-families-of-cauchy-transforms-and-bmoa/811BF0F1FECDEF23EE2E5519590D9EB4
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700001452

On effective linearly ordered sets of comparison functions

Authors: Shkarin, Stanislav

Source: Mathematical Notes. 67:534-540

Subject Terms: continuum hypothesis, first category set, entire function, dense comparison class, comparison functions, ZFC, 01 natural sciences, name=General Mathematics, 0103 physical sciences, natural partial orders, Consistency and independence results, 0101 mathematics, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF02676411
https://pure.qub.ac.uk/en/publications/on-effective-linearly-ordered-sets-of-comparison-functions

On the composition of a prime transcendental function and a prime polynomial

Authors: Ng, Tuen-Wai, Yang, Chung-Chun

Source: Pacific Journal of Mathematics. 193:131-141

Subject Terms: Nonlinear polynomials, Transcendental entire functions, Dynamical systems over complex numbers, Linear polynomials, Functional equations for complex functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: http://msp.org/pjm/2000/193-1/pjm-v193-n1-p08-s.pdf
https://zbmath.org/1463772
https://doi.org/10.2140/pjm.2000.193.131
https://repository.ust.hk/ir/bitstream/1783.1-654/1/19318.pdf
https://msp.org/pjm/2000/193-1/p08.xhtml
https://hub.hku.hk/handle/10722/156098
https://core.ac.uk/display/21759747
https://msp.org/pjm/2000/193-1/pjm-v193-n1-p08-s.pdf
http://repository.ust.hk/ir/Record/1783.1-654
http://hdl.handle.net/10722/156098

J-Inner matrix functions, interpolation and inverse problems for canonical systems, II: The inverse monodromy problem: \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem

Authors: D. Z. Arov, Harry Dym

Source: Integral Equations and Operator Theory. 36:11-70

Subject Terms: Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

File Description: application/xml

Access URL: https://zbmath.org/1417543
https://doi.org/10.1007/bf01236286
https://link.springer.com/article/10.1007%2FBF01236286

On a maximum principle in Bergman space

Authors: Aimo Hinkkanen

Source: Journal d'Analyse Mathématique. 79:335-344

Subject Terms: Korenblum's conjecture, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, Bergman space, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, hyperbolic metric

File Description: application/xml

Access URL: https://zbmath.org/1647637
https://doi.org/10.1007/bf02788246
https://experts.illinois.edu/en/publications/on-a-maximum-principle-in-bergman-space
https://link.springer.com/article/10.1007/BF02788246
https://link.springer.com/content/pdf/10.1007/BF02788246.pdf

Growth of the area function for multipliers of analytic fractional cauchy transforms: Growth of the area function for multipliers of analytic fractional Cauchy transforms

Authors: D.J. Hallenbeck

Source: Applicable Analysis. 73:89-94

Subject Terms: 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://zbmath.org/1229088
http://www.tandfonline.com/doi/abs/10.1080/00036819908840765