Search Results - Meromorphic functions in several variables

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  1. 1

    Normal Families of Meromorphic Functions in Several Variables by Chang, Jianming, Xu, Yan, Yang, Liu

    ISSN: 1617-9447, 2195-3724
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024
    Published in Computational methods and function theory (01.09.2024)
    “…We extend the well-known Gu’s normality criterion for meromorphic functions of one complex variable to the case of several complex variables…”
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    Journal Article
  2. 2

    Some Results Regarding Partial Differential Polynomials and the Uniqueness of Meromorphic Functions in Several Variables by Liu, Manli, Gao, Lingyun, Fang, Shaomei

    ISSN: 0252-9602, 1572-9087
    Published: Singapore Springer Nature Singapore 01.03.2023
    Published in Acta mathematica scientia (01.03.2023)
    “…In this paper, we mainly investigate the value distribution of meromorphic functions in ℂ…”
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    Journal Article
  3. 3

    SOME RESULTS REGARDING PARTIAL DIFFERENTIAL POLYNOMIALS AND THE UNIQUENESS OF MEROMORPHIC FUNCTIONS IN SEVERAL VARIABLES by Manli LIU, Lingyun GAO, Shaomei FANG

    ISSN: 0252-9602
    Published: Department of Mathematics,South China Agricultural University,Guangzhou 510642,China%Department of Mathematics,Jinan University,Guangzhou 510632,China 2023
    Published in 数学物理学报(英文版) (2023)
    “…In this paper,we mainly investigate the value distribution of meromorphic func-tions in Cm with its partial differential and uniqueness problem on meromorphic functions in Cm and with its k-th total…”
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    Journal Article
  4. 4

    Hayman conjecture for p-adic meromorphic functions in several variables by An, Vu Hoai, Le Thu, Thi Hoai

    ISSN: 2070-0466, 2070-0474
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2012
    “…In this paper we prove a generalized version of the Hayman Conjecture for p -adic meromorphic functions in several variables…”
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    Journal Article
  5. 5

    A topological splitting of the space of meromorphic germs in several variables and continuous evaluators by Dahmen, Rafael, Paycha, Sylvie, Schmeding, Alexander

    ISSN: 2524-7581, 2197-120X
    Published: Cham Springer International Publishing 01.03.2024
    Published in Complex analysis and its synergies (01.03.2024)
    “…We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs…”
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    Journal Article
  6. 6

    The star function for meromorphic functions of several complex variables by Abi-Khuzam, Faruk, Bertrand, Florian, Della Sala, Giuseppe

    ISSN: 1747-6933, 1747-6941
    Published: Colchester Taylor & Francis 02.01.2019
    Published in Complex variables and elliptic equations (02.01.2019)
    “…We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables…”
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    Journal Article
  7. 7

    On the convergence of certain sequences of rational approximants to meromorphic functions in several variables by García, Zebenzuí

    ISSN: 0021-9045, 1096-0430
    Published: Elsevier Inc 01.10.2004
    Published in Journal of approximation theory (01.10.2004)
    “… of the “de Montessus de Ballore's Theorem” for meromorphic functions in several variables is established…”
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    Journal Article
  8. 8

    On Rational Interpolation to Meromorphic Functions in Several Variables by Garcı́a, Zebenzuı́

    ISSN: 0021-9045, 1096-0430
    Published: Elsevier Inc 01.08.2000
    Published in Journal of approximation theory (01.08.2000)
    “…In this paper, a new approach to construct rational interpolants to functions of several variables is considered…”
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    Journal Article
  9. 9

    Hilbert's tenth problem for complex meromorphic functions in several variables by Pheidas, Thanases, Vidaux, Xavier

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 26.11.2017
    Published in arXiv.org (26.11.2017)
    “… More precisely, we prove that the set of integers is positive existentially definable in fields of complex meromorphic functions in several variables over the language of rings, together…”
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    Paper
  10. 10

    The q-Difference Theorems for Meromorphic Functions of Several Variables by Wen, Zhi-Tao

    ISSN: 1085-3375, 1687-0409
    Published: Cairo, Egypt Hindawi Limiteds 01.01.2014
    Published in Abstract and Applied Analysis (01.01.2014)
    “…We investigate q -shift analogue of the lemma on logarithmic derivative of several variables…”
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    Journal Article
  11. 11

    A Difference Picard Theorem for Meromorphic Functions of Several Variables by Korhonen, Risto

    ISSN: 1617-9447, 2195-3724
    Published: Berlin/Heidelberg Springer-Verlag 01.06.2012
    Published in Computational methods and function theory (01.06.2012)
    “…It is shown that if n ∈ ℕ, c ∈ ℂ n , and three distinct values of a meromorphic function f : ℂ…”
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    Journal Article
  12. 12

    On the size of multivariate polynomial lemniscates and the convergence of rational approximants by García, Zebenzuí

    ISSN: 0021-9045, 1096-0430
    Published: Elsevier Inc 01.12.2006
    Published in Journal of approximation theory (01.12.2006)
    “…In a previous paper, the author introduced a class of multivariate rational interpolants, which are called optimal Padé-type approximants (OPTA). The main goal…”
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    Journal Article
  13. 13

    Value distribution of q-differences of meromorphic functions in several complex variables by Cao, T.-B., Korhonen, R. J.

    ISSN: 0133-3852, 1588-273X
    Published: Cham Springer International Publishing 01.12.2020
    Published in Analysis mathematica (Budapest) (01.12.2020)
    “…In this paper, we study q -difference analogues of several central results in value distribution theory of several complex variables such as q -difference versions of the logarithmic derivative lemma…”
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    Journal Article
  14. 14

    Partial and Local Argument Properties of Holomorphic and Meromorphic Complex Functions in Several Variables by Zhou, Jun, Duan, Zhaoxia

    ISSN: 1024-123X, 1563-5147
    Published: Cairo, Egypt Hindawi Publishing Corporation 2019
    “…The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n-variable complex functions with n≥2…”
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  15. 15
  16. 16

    Difference analogues of the second main theorem for meromorphic functions in several complex variables by Cao, Ting-Bin

    ISSN: 0025-584X, 1522-2616
    Published: Weinheim Blackwell Publishing Ltd 01.04.2014
    Published in Mathematische Nachrichten (01.04.2014)
    “…In this paper, we obtain difference analogues of the second main theorem for meromorphic functions in several complex variables from which difference analogues of Picard…”
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  17. 17

    Uniqueness Theorems of Meromorphic Functions and Their Differences in Several Complex Variables by Wu, Wangning, Cao, Tingbin

    ISSN: 1617-9447, 2195-3724
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022
    Published in Computational methods and function theory (01.06.2022)
    “…In this paper, making use of the value distribution theory for meromorphic functions in several complex variables and its difference analogues, we mainly consider the uniqueness problem…”
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    Journal Article
  18. 18

    A Uniqueness Theorem for Meromorphic Functions Concerning Total Derivatives in Several Complex Variables by Xu, Ling, Cao, Tingbin

    ISSN: 0126-6705, 2180-4206
    Published: Singapore Springer Singapore 01.11.2020
    “…Motivated by many differences for the total derivative between entire functions and meromorphic functions, we mainly investigate the uniqueness problems for meromorphic functions in several complex…”
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  19. 19

    Theorems of Picard type for meromorphic function of several complex variables by Lu, Feng

    ISSN: 1747-6933, 1747-6941
    Published: Colchester Taylor & Francis Group 01.08.2013
    Published in Complex variables and elliptic equations (01.08.2013)
    “…In the work, we generalize several results of Picard type for meromorphic functions from one complex variable to several complex variables, which improve a related theorem given by Jin [L…”
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    Journal Article
  20. 20

    Clunie lemma in several complex variables and application in PDEs: Clunie lemma in several complex variables and application in PDEs by Hao, Wenjie, Zhang, Qingcai

    ISSN: 1578-7303, 1579-1505
    Published: Cham Springer International Publishing 01.10.2025
    “…–Clunie type theorem for meromorphic functions of one complex variable to meromorphic functions of several complex variables by using Clunie lemma…”
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