Search Results - Functions of a complex variable Entire AND meromorphic functions, AND related topics

M. G. Krein's investigations in the theory of entire and meromorphic functions and their further development

Authors: I. V. Ostrovskii

Source: Ukrainian Mathematical Journal. 46:87-100

Subject Terms: Research exposition (monographs, survey articles) pertaining to functions of a complex variable, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, entire functions

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF01057003

A Central Limit Theorem for inner functions

Authors: Nicolau Nos, Artur Soler i Gibert, Odí Universitat Politècnica de Catalunya. Departament de Matemàtiques et al.

Contributors: Nicolau Nos, Artur Soler i Gibert, Odí Universitat Politècnica de Catalunya. Departament de Matemàtiques et al.

Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Funcions de variable complexa, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics, Functions, Entire, Ergodic theory, Differentiable dynamical systems, Inner functions, Aleksandrov-Clark measures, Central Limit Theorem, Funcions enteres, Teoria ergòdica, Sistemes dinàmics diferenciables, Classificació AMS::30 Functions of a complex variable::30D Entire and meromorphic functions, and related topics, Classificació AMS::37 Dynamical systems and ergodic theory::37A Ergodic theory, Classificació AMS::37 Dynamical systems and ergodic theory::37F Complex dynamical systems

File Description: application/pdf

Relation: https://www.sciencedirect.com/science/article/pii/S0001870822001347; Nicolau, A.; Soler i Gibert, O. A Central Limit Theorem for inner functions. "Advances in mathematics", Juny 2022, vol. 401, núm. article 108318.; https://arxiv.org/pdf/2006.12105.pdf; http://hdl.handle.net/2117/405874

Availability: http://hdl.handle.net/2117/405874
https://arxiv.org/pdf/2006.12105.pdf
https://doi.org/10.1016/j.aim.2022.108318

Regularity of the growth of meromorphic functions and entire curves

Authors: V. P. Petrenko

Source: Ukrainian Mathematical Journal. 30:480-484

Subject Terms: Nevanlinna Theory, Meromorphic Functions, Entire Algebroid Functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), Entire Curves, 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://link.springer.com/article/10.1007/BF01094850

Asymptotic properties of meromorphic functions and entire curves

Authors: V. P. Petrenko

Source: Ukrainian Mathematical Journal. 32:522-528

Subject Terms: deviation, meromorphic function, entire curves, 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://zbmath.org/3719472
https://doi.org/10.1007/bf01087182
https://link.springer.com/article/10.1007/BF01087182

Linear independence of iterates and meromorphic solutions of functional equations

Authors: Pal Fischer Jens Peter Reus Christensen

Source: Proceedings of the American Mathematical Society. 120:1137-1143

Subject Terms: Feingenbaum functional equation, linear independence, Iteration theory, iterative and composite equations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, iterations, 0101 mathematics, 16. Peace & justice, meromorphic solutions, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://www.ams.org/proc/1994-120-04/S0002-9939-1994-1182697-1/S0002-9939-1994-1182697-1.pdf
https://www.ams.org/journals/proc/1994-120-04/S0002-9939-1994-1182697-1/home.html
https://www.ams.org/proc/1994-120-04/S0002-9939-1994-1182697-1/S0002-9939-1994-1182697-1.pdf

Bloch constants for meromorphic functions near an isolated singularity

Authors: David Minda

Source: Proceedings of the American Mathematical Society. 91:69-72

Subject Terms: Bloch constants, Geometric function theory, 4. Education, unramified disk, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Covering theorems in conformal mapping theory, Entire and meromorphic functions of one complex variable, and related topics, isolated essential singularity

File Description: application/xml

Access URL: https://www.ams.org/proc/1984-091-01/S0002-9939-1984-0735566-6/S0002-9939-1984-0735566-6.pdf
https://zbmath.org/3867658
https://doi.org/10.2307/2045271
https://www.ams.org/journals/proc/1984-091-01/S0002-9939-1984-0735566-6/home.html
https://www.ams.org/proc/1984-091-01/S0002-9939-1984-0735566-6/S0002-9939-1984-0735566-6.pdf

Approximation of meromorphic functions by rational ones and the acceleration of the convergence of power series

Authors: Krupka, Z. I.

Subject Terms: rational approximation of meromorphic functions, solution of Cauchy's problem in ordinary differential equation, Approximation in the complex plane, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://zbmath.org/3803845

Conditions for uniform convergence and convergence of boundary values of analytic and meromorphic functions of uniformly bounded characteristic.

Authors: Tumarkin, G. Ts.

Subject Terms: complex functions, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://zbmath.org/3227286

Local moduli for meromorphic differential equations

Authors: Babbitt, Donald G. Varadarajan, V. S.

Source: Bull. Amer. Math. Soc. (N.S.) 12, no. 1 (1985), 95-98

Subject Terms: 34A20, Linear ordinary differential equations and systems, 0103 physical sciences, General theory of ordinary differential operators, irregular singular point, system of meromorphic differential equations, Entire and meromorphic solutions to ordinary differential equations in the complex domain, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics, formal equivalence over general rings

File Description: application/xml; application/pdf

Access URL: https://www.ams.org/bull/1985-12-01/S0273-0979-1985-15300-5/S0273-0979-1985-15300-5.pdf
https://zbmath.org/3927393
https://doi.org/10.1090/s0273-0979-1985-15300-5
https://www.ams.org/bull/1985-12-01/S0273-0979-1985-15300-5/S0273-0979-1985-15300-5.pdf
https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-12/issue-1/Local-moduli-for-meromorphic-differential-equations/bams/1183552336.full
https://ci.nii.ac.jp/ncid/BA07874785
https://www.ams.org/journals/bull/1985-12-01/S0273-0979-1985-15300-5/home.html
https://projecteuclid.org/download/pdf_1/euclid.bams/1183552336
http://projecteuclid.org/euclid.bams/1183552336

On the dynamics of iterated maps. IX: Continuous interpolation of the complex discrete map \(z\to \lambda z(1-z),\) and related topics.

Authors: Mandelbrot, Benoit B.

Subject Terms: Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

File Description: application/xml

Access URL: https://zbmath.org/1480465

Factorization of algebroid functions

Authors: Zheng, Jianhua Yang, Chungchun

Subject Terms: algebroid functions, left prime, factorization, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Meromorphic functions of one complex variable (general theory), Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://zbmath.org/169544

A remark on algebroid functions having shared values

Authors: Mutō, Hideo

Subject Terms: value sharing, algebroid functions, 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://zbmath.org/3998173

On algebroid functions taking the same values at the same points

Authors: He, Yu Zan Gao, Shi An

Source: Kodai Math. J. 9, no. 2 (1986), 256-265

Subject Terms: algebroid functions, 30D35, 0101 mathematics, 01 natural sciences, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml; application/pdf

Access URL: https://projecteuclid.org/journals/kodai-mathematical-journal/volume-9/issue-2/On-algebroid-functions-taking-the-same-values-at-the-same/10.2996/kmj/1138037208.pdf
https://zbmath.org/4017283
https://doi.org/10.2996/kmj/1138037208
https://projecteuclid.org/download/pdf_1/euclid.kmj/1138037208
http://projecteuclid.org/euclid.kmj/1138037208

On the value-distribution of algebroid functions

Authors: Zhan, Xiaoping

Subject Terms: lower order, meromorphic functions, algebroid function, 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://zbmath.org/679755

Asymptotic series and algebroid functions

Authors: Levin, B. Ya. Ronkin, A. L.

Subject Terms: Asymptotic representations in the complex plane, Ritt theorems, meromorphic functions, algebroidal function, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, quasi- polynomial, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: https://zbmath.org/3959888

Estimations for the increase of branches of algebroidal functions and their Nevanlinna characteristics

Authors: Mokhon'ko, A. Z.

Subject Terms: meromorphic functions, Nevanlinna characteristics, meromorphic curve, algebroid function, 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://zbmath.org/3682093

Local theory of solutions for the 0(2k+1) ?-model: Local theory of solutions for the \(0(2k+1)\sigma\)-model

Authors: H. J. Borchers W. D. Garber

Source: Communications in Mathematical Physics. 72:77-102

Subject Terms: Partial differential equations of mathematical physics and other areas of application, Representations of solutions to partial differential equations, 0103 physical sciences, subclass of solutions, meromorphic 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%2FBF01200112
https://link.springer.com/content/pdf/10.1007/BF01200112.pdf
http://ui.adsabs.harvard.edu/abs/1980CMaPh..72...77B/abstract
https://projecteuclid.org/euclid.cmp/euclid.cmp/1103907601
https://projecteuclid.org/download/pdf_1/euclid.cmp/1103907601

Sur un problème d'inversion dans la théorie des fonctions méromorphes

Authors: Lê Van Thiem

Source: Annales scientifiques de l'École normale supérieure. 67:51-98

Subject Terms: inverse problem, meromorphic functions, Entire and meromorphic functions of one complex variable, and related topics

File Description: application/xml

Access URL: http://www.numdam.org/article/ASENS_1950_3_67__51_0.pdf
https://zbmath.org/3061734
https://doi.org/10.24033/asens.977
https://eudml.org/doc/81652
http://www.numdam.org/item?id=ASENS_1950_3_67__51_0
http://www.numdam.org/item/ASENS_1950_3_67__51_0/

Certain values for the deficient quantities of \(n+1\) dimensional entire curves of finite lower order

Authors: Hossain, M.

Subject Terms: algebroid function, Entire and meromorphic functions of one complex variable, and related topics, \((n+1)\) dimensional entire curves of finite lower order, deficient values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

File Description: application/xml

Access URL: https://zbmath.org/3941889

Uniqueness problems of entire and meromorphic functions

Authors: Hua, Xinhou Yang, Chung-Chun

Subject Terms: shared values, unique range set, permutable functions, uniqueness, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Topological dynamics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

File Description: application/xml

Access URL: https://zbmath.org/1230599