Výsledky vyhľadávania - Polynomials and rational functions of one complex variable

Bounded Fatou and Julia components of meromorphic functions

Autori: David Martí-Pete Lasse Rempe James Waterman

Zdroj: Martí-Pete, D, Rempe, L & Waterman, J 2024, ' Bounded Fatou and Julia components of meromorphic functions ', Mathematische Annalen . https://doi.org/10.1007/s00208-023-02725-4

Predmety: 37B45, Fatou set, Mathematics - Complex Variables, Combinatorics and topology in relation with holomorphic dynamical systems, Julia set, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Approximation in the complex plane, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Bifurcations, parameter spaces in holomorphic dynamics, the Mandelbrot and Multibrot sets, Primary 37F10, wandering compacta, Fatou component, 54F15, Secondary 30D05, escaping set, FOS: Mathematics, meromorphic function, 37F10 (primary), 30D05, 37B45, 54F15 (secondary), Mathematics - Dynamical Systems, 0101 mathematics, Complex Variables (math.CV), approximation theory, Meromorphic functions of one complex variable (general theory)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2204.11781
https://zbmath.org/7967057
https://doi.org/10.1007/s00208-023-02725-4
https://research.manchester.ac.uk/en/publications/e507b2e3-3b70-46ef-8cf3-e881cbbfd148
https://doi.org/10.1007/s00208-023-02725-4
https://research.manchester.ac.uk/en/publications/e507b2e3-3b70-46ef-8cf3-e881cbbfd148
http://www.scopus.com/inward/record.url?scp=85195367611&partnerID=8YFLogxK
https://doi.org/10.1007/s00208-023-02725-4

On discs contained in filled Julia sets

Autori: Sprus, Przemysław

Predmety: filled Julia sets, Fatou sets, Markov's property, Green function, fixed points, discs, non-autonomous Julia sets, pluricomplex Green function, iterations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, lled Julia sets, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7990345
https://doi.org/10.25430/pupj-drna-2025-1-3
https://ruj.uj.edu.pl/handle/item/547764

Effectiveness of Cannon and composite set of polynomials of two complex variables in Faber regions

Autori: Ajayi Adepoju, Jerome Mogbademu, Adesanmi Alao

Zdroj: Proyecciones (Antofagasta, On line); Vol. 39 No. 3 (2020); 651-662 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 3 (2020); 651-662 ; 0717-6279 ; 10.22199/issn.0717-6279-2020-03

Predmety: Basic set, Faber polynomials, Faber regions, Faber curves, Composite set, Cannon set, Cannon function, Cannon sum, Constituent set, Effectiveness, 30A10, Inequalities in the complex plane, 30C10, Polynomials and rational functions of one complex variable, 30C20, Conformal mappings of special domains, 30D10, Representations of entire functions of one complex variable by series and integrals, 32A05, Power series, series of functions of several complex variables

Popis súboru: application/pdf

Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3599/3419; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3599

Dostupnosť: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3599
https://doi.org/10.22199/issn.0717-6279-2020-03-0040

On amenable semigroups of rational functions.

Autori: Pakovich, Fedor¹ (AUTHOR)

Zdroj: Transactions of the American Mathematical Society. Nov2022, Vol. 375 Issue 11, p7945-7979. 35p.

Predmety: *COMPLEX variables, *POLYNOMIALS

Clunie lemma in several complex variables and application in PDEs.

Autori: Hao, Wenjie Zhang, Qingcai

Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Oct2025, Vol. 119 Issue 4, p1-16, 16p

Reduced dynamical systems

Autori: Uroš Kuzman Luka Boc Thaler

Zdroj: Ergodic Theory and Dynamical Systems. 41:1612-1626

Predmety: 4. Education, 37F10, 37A35, rational functions, Combinatorics and topology in relation with holomorphic dynamical systems, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, low-dimensional dynamics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, FOS: Mathematics, Entropy and other invariants, isomorphism, classification in ergodic theory, Entropy and other invariants, Mathematics - Dynamical Systems, 0101 mathematics, classical ergodic theory

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/1902.04192
http://arxiv.org/abs/1902.04192
https://zbmath.org/7352595
https://doi.org/10.1017/etds.2020.31
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/reduced-dynamical-systems/873BF9EB3C6F95902FFC5000EF41E46A
https://arxiv.org/pdf/1902.04192.pdf
https://ui.adsabs.harvard.edu/abs/2019arXiv190204192B/abstract
https://arxiv.org/abs/1902.04192
http://export.arxiv.org/pdf/1902.04192

Sierpinski-curve Julia sets and singular perturbations of complex polynomials

Autori: Robert L. Devaney Daniel M. Look Pradipta Seal a ďalší

Zdroj: Ergodic Theory and Dynamical Systems. 25:1047-1055

Predmety: rational maps, Julia sets, open sets, Small divisors, rotation domains and linearization in holomorphic dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, Sierpinski curves, singular perturbation, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: http://myslu.stlawu.edu/~dlook/Papers/SierpinskiPerturbations.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1245239
https://dialnet.unirioja.es/servlet/articulo?codigo=1245239
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitlesierpinski-curve-julia-sets-and-singular-perturbations-of-complex-polynomialsdiv/FA6C76FFB9422835FABF32ABFCEF124E
http://journals.cambridge.org/action/displayAbstract?aid=317523

Explicit Rational Functions Whose Julia Sets are Jordan Arcs: Explicit rational functions whose Julia sets are Jordan arcs

Autori: Clemens Inninger Franz Peherstorfer

Zdroj: Journal of the London Mathematical Society. 69:676-692

Predmety: rationally indifferent fixed point, Jordan arc, 0103 physical sciences, Julia set, Iteration theory, iterative and composite equations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Real rational functions

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2103078
https://doi.org/10.1112/s0024610704005204
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704005204
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/explicit-rational-functions-whose-julia-sets-are-jordan-arcs/C1A440037725122A806F05970747DDBD

Repulsive Fixpoints of Analytic Functions with Applications to Complex Dynamics: Repulsive fixpoints of analytic functions with applications to complex dynamics

Autori: Matts Essén Shengjian Wu

Zdroj: Journal of the London Mathematical Society. 62:139-148

Predmety: Fatou set, wandering domain, Normal functions of one complex variable, normal families, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, normal family, fixpoint

Popis súboru: application/xml

Prístupová URL adresa: http://doi.wiley.com/10.1112/S0024610700001149
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/repulsive-fixpoints-of-analytic-functions-with-applications-to-complex-dynamics/F4EF76AA5D73D2684A34777071C11D49
https://academic.oup.com/jlms/article-abstract/62/1/139/877288/Repulsive-Fixpoints-of-Analytic-Functions-with
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610700001149
http://www.diva-portal.org/smash/record.jsf?pid=diva2:64484

A NEW SIMPLE CLASS OF RATIONAL FUNCTIONS WHOSE JULIA SET IS THE WHOLE RIEMANN SPHERE: A new simple class of rational functions whose Julia set is the whole Riemann sphere.

Autori: Franz Peherstorfer Clemens Inninger

Zdroj: Journal of the London Mathematical Society. 65:453-463

Predmety: Schwarzian derivative, rational function, Julia set, critical point, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1818779
https://doi.org/10.1112/s0024610701003027
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/new-simple-class-of-rational-functions-whose-julia-set-is-the-whole-riemann-sphere/BBB10451AFCDD35F37F3AB3ED9303CF4
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0024610701003027

Nevanlinna theory and iteration of rational maps

Autori: Min Ru Eunjeong Yi

Zdroj: Mathematische Zeitschrift. 249:125-138

Predmety: Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Global ground fields in algebraic geometry

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2146798
https://doi.org/10.1007/s00209-004-0694-4
https://documat.unirioja.es/servlet/articulo?codigo=2807284
https://dialnet.unirioja.es/servlet/articulo?codigo=2807284
https://link.springer.com/content/pdf/10.1007%2Fs00209-004-0694-4.pdf
https://link.springer.com/article/10.1007/s00209-004-0694-4

On axially rational regular functions and Schur analysis in the Clifford-Appell setting.

Autori: Alpay, Daniel Colombo, Fabrizio De Martino, Antonino a ďalší

Zdroj: Analysis & Mathematical Physics; Jun2024, Vol. 14 Issue 3, p1-59, 59p

FINITENESS OF THE AREA OF BASINS OF ATTRACTION OF RELAXED NEWTON METHOD FOR CERTAIN HOLOMORPHIC FUNCTIONS: Finiteness of the area of basins of attraction of relaxed Newton method for certain holomorphic functions

Autori: Çilingir, Figen

Zdroj: International Journal of Bifurcation and Chaos. 14:4177-4190

Predmety: Fatou set, Numerical smoothing, curve fitting, Newton business, Julia set, iteration of rational functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, relaxed Newton's method, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: https://hdl.handle.net/20.500.11851/6723
https://doi.org/10.1142/S0218127404011879 10.1142/S0218127404011879
https://www.worldscientific.com/doi/abs/10.1142/S0218127404011879
https://dblp.uni-trier.de/db/journals/ijbc/ijbc14.html#Cilingir04
https://ui.adsabs.harvard.edu/abs/2004IJBC...14.4177C/abstract

Skew product maps related to finitely generated rational semigroups

Autori: Hiroki Sumi

Zdroj: Nonlinearity. 13:995-1019

Predmety: maximal entropy measure, Fatou set, skew product, self-similar measure, rational semigroup, Julia set, Hausdorff dimension, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, entropy, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Permutable entire functions and their Julia sets

Autori: Ng, TW

Zdroj: Mathematical Proceedings of the Cambridge Philosophical Society. 131:129-138

Predmety: permutable, commuting, entire function, Julia set, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: http://hub.hku.hk/bitstream/10722/75206/1/content.pdf
https://zbmath.org/1652429
http://hub.hku.hk/handle/10722/75206
https://ui.adsabs.harvard.edu/abs/2001MPCPS.131..129N/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=2805445
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/permutable-entire-functions-and-their-julia-sets/B3D8E437D02183669AA4775E4FC2DAE6
http://hdl.handle.net/10722/75206

On the Fatou components of two permutable transcendental entire functions

Autori: Wang, XL Yang, CC

Zdroj: Journal of Mathematical Analysis and Applications. 278:512-526

Predmety: Fatou set, Applied Mathematics, entire function, Julia set, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 01 natural sciences, Permutable transcendental entire functions, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Fatou component, permutable, Entire functions of one complex variable (general theory), Complex dynamics, 0101 mathematics, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X02006649#!
https://www.sciencedirect.com/science/article/pii/S0022247X02006649
https://www.sciencedirect.com/science/article/abs/pii/S0022247X02006649
https://repository.ust.hk/ir/Record/1783.1-22489

THE IMMEDIATE BASIN OF ATTRACTION OF INFINITY FOR POLYNOMIAL SEMIGROUPS OF FINITE TYPE: The immediate basin of attraction of infinity for polynomial semigroups of finite type

Autori: David A. Boyd

Zdroj: Journal of the London Mathematical Society. 69:201-213

Predmety: semigroup, basin of attraction, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, filled-in Julia set, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/immediate-basin-of-attraction-of-infinity-for-polynomial-semigroups-of-finite-type/4FFCF85C2D5371880354313AFD599D0C
https://academic.oup.com/jlms/article-abstract/69/1/201/917260
https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/S0024610703004691

On the dynamics of composition of entire functions: On the dynamics of composition of entire functions.

Autori: Anand Prakash Singh

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

Predmety: Fatou set, wandering domain, Entire functions of one complex variable (general theory), entire function, dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, Approximation in the complex plane, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2003MPCPS.134..129S/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=322911
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-dynamics-of-composition-of-entire-functions/030069CF4052F30C8CF47BA8C7F50B66

Dynamics of polynomials with disconnected Julia sets

Autori: Nathaniel D. Emerson

Zdroj: Discrete & Continuous Dynamical Systems - A. 9:801-834

Predmety: complex dynamical systems, polynomials, tree with dynamics, Cantor set, Combinatorics and topology in relation with holomorphic dynamical systems, Julia set, combinatorial condition, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1941551
https://doi.org/10.3934/dcds.2003.9.801
https://www.aimsciences.org/article/doi/10.3934/dcds.2003.9.801

DIMENSIONS OF JULIA SETS OF HYPERBOLIC ENTIRE FUNCTIONS: Dimensions of Julia sets of hyperbolic entire functions

Autori: Gwyneth M. Stallard

Zdroj: Bulletin of the London Mathematical Society. 36:263-270

Predmety: Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Expanding holomorphic maps, hyperbolicity, structural stability of holomorphic dynamical systems, Julia set, box and packing dimension, Hausdorff dimension, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, 01 natural sciences, hyperbolic entire function, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

Popis súboru: application/xml

Prístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=797464
https://academic.oup.com/blms/article/36/2/263/273187
https://www.cambridge.org/core/journals/bulletin-of-the-london-mathematical-society/article/dimensions-of-julia-sets-of-hyperbolic-entire-functions/27050B2AA06A316E16C87F8A86F50F59
https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/S0024609303002698
http://oro.open.ac.uk/3839/