Search Results - Other generalizations of function theory of one complex variable

One Complex Variable from the Several Variable Point of View

Authors: Dovbuş, P.V. Dovbush, P.V. Krantz, S.

Source: One Complex Variable from the Several Variable Point of View

Subject Terms: Algebraic geometry, Complex variable, differential geometry, Function theory, Natural generalization, Several variables, Testing grounds

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Relation: https://ibn.idsi.md/vizualizare_articol/232071; urn:isbn:9781041020141

Availability: https://ibn.idsi.md/vizualizare_articol/232071
https://doi.org/10.1201/9781003619581

Errata to: The algebra of slice functions

Authors: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Source: Transactions of the American Mathematical Society.

Subject Terms: 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, 0101 mathematics, 01 natural sciences

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Access URL: https://hdl.handle.net/2158/1246758
https://doi.org/10.1090/tran/8574

Univalent holomorphic mappings on a complex manifold with a C 1 exhaustion function: Univalent holomorphic mappings on a complex manifold with a \(C^1\) exhaustion function

Authors: Hidetaka Hamada

Source: manuscripta mathematica. 99:359-369

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), univalent holomorphic mapping, 0103 physical sciences, starlike and spirallike domain, Other generalizations of function theory of one complex variable, 0101 mathematics, complex manifold, exhaustion function, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s002290050178

On the order of an entire function of several omplex variables represented by multiple dirichlet series: On the order of an entire function of several complex variables represented by multiple Dirichlet series

Authors: Poonam Sharma

Source: Demonstratio Mathematica. 26:1-10

Subject Terms: Entire functions of several complex variables, Dirichlet series, exponential series and other series in one complex variable, Other generalizations of function theory of one complex variable, order, 0101 mathematics, 01 natural sciences, entire functions, multiple Dirichlet series

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Access URL: http://www.degruyter.com/view/j/dema.1993.26.issue-1/dema-1993-0102/dema-1993-0102.xml

Spatial Riemann Problem for Analytic Functions of Two Complex Variables: Spatial Riemann problem for analytic functions of two complex variables

Authors: Dao-Qing Dai Heinrich Begehr

Source: Zeitschrift für Analysis und ihre Anwendungen. 18:827-837

Subject Terms: boundary value problem, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), Boundary value problems in the complex plane, Other generalizations of function theory of one complex variable, Systems of elliptic equations, boundary value problems, 0101 mathematics, 01 natural sciences

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Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=18&iss=4&rank=2
https://zbmath.org/1416219
https://doi.org/10.4171/zaa/916
https://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=18&iss=4&rank=2
https://www.ems-ph.org/doi/10.4171/ZAA/916

The algebra of slice functions

Authors: Ghiloni R. Perotti A. Stoppato C.

Source: Transactions of the American Mathematical Society. 369:4725-4762

Subject Terms: Primary 30G35, Secondary 17D05, 32A30, 30C15, Mathematics - Complex Variables, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, 6. Clean water

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Access URL: http://arxiv.org/abs/1506.03749
https://ui.adsabs.harvard.edu/abs/2015arXiv150603749G/abstract
https://arxiv.org/abs/1506.03749
https://arxiv.org/pdf/1506.03749.pdf
https://flore.unifi.it/handle/2158/1038167
https://www.ams.org/journals/tran/2017-369-07/S0002-9947-2016-06816-6/

A sharp form of Nevanlinna’s second main theorem of several complex variables: A sharp form of Nevanlinna's Second Main Theorem of several complex variables

Authors: Ye, Zhuan

Source: Mathematische Zeitschrift. 222:81-95

Subject Terms: Nevanlinna theory, Second Main Theorem, 01 natural sciences, Article, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, logarithmic derivative, best upper bound, 510.mathematics, error terms, Meromorphic functions of several complex variables, Nevanlinna secondary deficiency, meromorphic functions, Other generalizations of function theory of one complex variable, 0101 mathematics, growth estimates, other inequalities of several complex variables

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Access URL: https://zbmath.org/838481
https://doi.org/10.1007/bf02621859
https://link.springer.com/article/10.1007/BF02621859

Some adaptive control problems which convert to a 'classical' problem in several complex variables: Some adaptive control problems which convert to a ``classical'' problem in several complex variables

Authors: J.W. Helton

Source: IEEE Transactions on Automatic Control. 46:2038-2043

Subject Terms: Adaptive control/observation systems, \(H^\infty\)-control, functions of several complex variables, Other generalizations of function theory of one complex variable, \(H^\infty\) problem, 0101 mathematics, Moment problems and interpolation problems in the complex plane, adaptive control, 01 natural sciences, interpolation

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Access URL: http://www.math.ucsd.edu/%7Ehelton/BILLSPAPERSscanned/H01.pdf
https://dblp.uni-trier.de/db/journals/tac/tac46.html#Helton01
https://ieeexplore.ieee.org/document/975517/
http://www.math.ucsd.edu/~helton/BILLSPAPERSscanned/H01.pdf

On the size of lemniscates of polynomials in one and several variables

Authors: Cuyt, Annie A.M. Driver, Kathy Lubinsky, Doron

Source: Proceedings of the American Mathematical Society

Subject Terms: potential theory, Approximation by polynomials, Polynomials and rational functions of one complex variable, product capacity, lemniscate, Other generalizations of function theory of one complex variable, Favorov's capacity, 0101 mathematics, Padé approximation, logarithmic capacity, 01 natural sciences

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Access URL: https://www.ams.org/proc/1996-124-07/S0002-9939-96-03293-5/S0002-9939-96-03293-5.pdf
https://www.ams.org/proc/1996-124-07/S0002-9939-96-03293-5/S0002-9939-96-03293-5.pdf
https://repository.uantwerpen.be/docman/irua/f964d8/8135.pdf
https://www.ams.org/journals/proc/1996-124-07/S0002-9939-96-03293-5/home.html
https://hdl.handle.net/10067/162960151162165141
https://repository.uantwerpen.be/docman/irua/f964d8/8135.pdf

Composition Operators on the Bloch Space of Several Complex Variables: Composition operators on the Bloch space of several complex variables

Authors: Jihuai Shi Luo Luo

Source: Acta Mathematica Sinica, English Series. 16:85-98

Subject Terms: Bloch space, Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), composition operator, Other generalizations of function theory of one complex variable, Normal functions of one complex variable, normal families, 0101 mathematics, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), 01 natural sciences

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Access URL: https://zbmath.org/1829606
https://zbmath.org/1471198
https://doi.org/10.1007/s101149900028
https://rd.springer.com/article/10.1007/s101149900028
https://link.springer.com/article/10.1007%2Fs101149900028

Wiman-Valiron theory in two variables

Authors: P. C. Fenton

Source: Transactions of the American Mathematical Society. 347:4403-4412

Subject Terms: estimates, Entire functions of several complex variables, entire function, Taylor series, Wiman-Valiron theory, Special classes of entire functions of one complex variable and growth estimates, Other generalizations of function theory of one complex variable, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, maximum, 16. Peace & justice, 01 natural sciences

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Access URL: https://www.ams.org/tran/1995-347-11/S0002-9947-1995-1308010-X/S0002-9947-1995-1308010-X.pdf
https://zbmath.org/870307
https://doi.org/10.2307/2155043
https://www.ams.org/journals/tran/1995-347-11/S0002-9947-1995-1308010-X/home.html

On a Lower-Bound for the Absolute Value of a Polynomial of Several Complex Variables: On a lower bound for the absolute value of a polynomial of several complex variables

Authors: B. Paneah

Source: Journal of Approximation Theory. 78:402-409

Subject Terms: Mathematics(all), Numerical Analysis, Polynomials and rational functions of one complex variable, Applied Mathematics, Entire functions of several complex variables, Other generalizations of function theory of one complex variable, polynomial of several complex variables, 0101 mathematics, lower bound, Cartan theorem, 01 natural sciences, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0021904584710860
https://core.ac.uk/display/82776614
https://www.sciencedirect.com/science/article/pii/S0021904584710860

The Bloch theorem in several complex variables

Authors: Sheng Gong Carl H. FitzGerald

Source: The Journal of Geometric Analysis. 4:35-58

Subject Terms: classical domains, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), Integral representations, canonical kernels (Szegő, Bergman, etc.), Bloch's constant, Other generalizations of function theory of one complex variable, Bergman kernel function, Normal functions of one complex variable, normal families, 0101 mathematics, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), 01 natural sciences

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Access URL: https://zbmath.org/579774
https://doi.org/10.1007/bf02921592
https://link.springer.com/article/10.1007/BF02921592

The Schwarzian derivative in several complex variables IV: The Schwarzian derivative in several complex variables. II

Authors: Sheng Gong Qihuang Yu Xue’an Zheng

Source: Science in China Series A: Mathematics. 41:809-819

Subject Terms: 0301 basic medicine, Schwarzian derivative, Holomorphic functions of several complex variables, Holomorphic mappings and correspondences, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, 4. Education, cross ratio, approximation of second order, 04 agricultural and veterinary sciences, Möbius translation, 16. Peace & justice, space of rectangular complex matrix, 3. Good health, 0403 veterinary science, linear fractional mapping, holomorphic mappings, 03 medical and health sciences, Other generalizations of analytic functions (including abstract-valued functions), Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, Schwarzian derivative of high order, Other generalizations of function theory of one complex variable, holomorphic matrix mapping

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Access URL: https://zbmath.org/1174354
https://zbmath.org/1829360
https://zbmath.org/1180423
https://doi.org/10.1007/bf02897441
https://zbmath.org/1207969
https://doi.org/10.1007/bf02871664
https://link.springer.com/content/pdf/10.1007/BF02897441.pdf
https://en.cnki.com.cn/Article_en/CJFDTOTAL-JAXG199305000.htm
http://ui.adsabs.harvard.edu/abs/1998ScChA..41..158G/abstract

An outer function and several important functions in two variables

Authors: Nakazi, T.

Source: Archiv der Mathematik. 66:490-498

Subject Terms: Length, area, volume, other geometric measure theory, invariant subspace, Lebesgue measure, prediction theory, torus, Other generalizations of function theory of one complex variable, Hardy space, 0101 mathematics, extremal problem, 01 natural sciences, \(H^p\)-classes, outer function

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Access URL: https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69073/1/pre322.pdf
https://zbmath.org/938563
https://doi.org/10.1007/bf01268868
https://link.springer.com/article/10.1007/BF01268868

An application from partial sums of ez to a problem in several complex variables: An application from partial sums of \(e^ z\) to a problem in several complex variables

Authors: Richard S. Varga Roger Barnard Kent Pearce

Source: Journal of Computational and Applied Mathematics. 46:271-279

Subject Terms: Koebe 1/4 theorem, zeros of the partial sums of ez, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Computational Mathematics, Applied Mathematics, Other generalizations of function theory of one complex variable, Holomorphic maps in several complex variables, the Szegő curve, 0101 mathematics, 01 natural sciences, polynomial mapping, Power series, series of functions of several complex variables

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Access URL: https://zbmath.org/219126
https://doi.org/10.1016/0377-0427(93)90301-q
https://www.sciencedirect.com/science/article/pii/037704279390301Q

Bloch constants in one and several variables

Authors: Graham, Ian Varolin, Dror

Source: Pacific J. Math. 174, no. 2 (1996), 347-357

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 32A30, 30C25, convex mappings, starlike mappings, 32H02, Koebe constant, Bloch constant, Other generalizations of function theory of one complex variable, Normal functions of one complex variable, normal families, 0101 mathematics, 30C45, 01 natural sciences

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Access URL: http://msp.org/pjm/1996/174-2/pjm-v174-n2-p03-s.pdf
https://msp.org/pjm/1996/174-2/p03.xhtml
https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-174/issue-2/Bloch-constants-in-one-and-several-variables/pjm/1102365175.full
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102365175
https://msp.org/pjm/1996/174-2/pjm-v174-n2-p03-p.pdf
http://projecteuclid.org/euclid.pjm/1102365175

UNIVERSAL HOLOMORPHIC FUNCTIONS IN SEVERAL VARIABLES: Universal holomorphic functions in several variables

Authors: Yukitaka Abe

Source: Analysis. 17:71-78

Subject Terms: Holomorphic functions of several complex variables, Entire functions of several complex variables, entire function, universal holomorphic function, Other generalizations of function theory of one complex variable, 0101 mathematics, 01 natural sciences, Power series, series of functions of several complex variables

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Access URL: https://zbmath.org/1014273
https://doi.org/10.1524/anly.1997.17.1.71
http://www.degruyter.com/view/j/anly.1997.17.issue-1/anly.1997.17.1.71/anly.1997.17.1.71.xml

Some bounds on convex mappings in several complex variables

Authors: FitzGerald, Carl H. Thomas, Carolyn R.

Source: Pacific J. Math. 165, no. 2 (1994), 295-320

Subject Terms: convex functions, 32A30, Holomorphic functions of several complex variables, growth, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), coefficient bounds, 30C45, 01 natural sciences, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), holomorphic mappings, 30C25, 32H02, derivatives, Other generalizations of function theory of one complex variable, distortion, 0101 mathematics

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Access URL: http://msp.org/pjm/1994/165-2/pjm-v165-n2-p05-s.pdf
http://projecteuclid.org/euclid.pjm/1102621618
https://msp.org/pjm/1994/165-2/pjm-v165-n2-p05-s.pdf
https://msp.org/pjm/1994/165-2/p05.xhtml
http://projecteuclid.org/euclid.pjm/1102621618

Inclusion isotonicity for circular centered forms in several complex variables

Authors: Lin, Q Rokne, JG

Source: Journal of the Franklin Institute. 335:1069-1076

Subject Terms: circular intervals, General theory of numerical methods in complex analysis (potential theory, etc.), inclusion functions, Interval and finite arithmetic, inclusion isotonicity, circular arithmetic, centered forms, Other generalizations of function theory of one complex variable, 0101 mathematics, Approximation in the complex plane, 01 natural sciences

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Access URL: http://www.sciencedirect.com/science/article/pii/S0016003297000422
https://www.sciencedirect.com/science/article/abs/pii/S0016003297000422