Hayman conjecture for p-adic meromorphic functions in several variables

In this paper we prove a generalized version of the Hayman Conjecture for p -adic meromorphic functions in several variables.

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Veröffentlicht in:P-adic numbers, ultrametric analysis, and applications Jg. 4; H. 3; S. 231 - 243
Hauptverfasser: An, Vu Hoai, Le Thu, Thi Hoai
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2012
Schlagworte:
Algebra
Mathematics
Mathematics and Statistics
p-adic meromorphic functions in several variables
Hayman conjecture
ISSN:2070-0466, 2070-0474
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Abstract In this paper we prove a generalized version of the Hayman Conjecture for p -adic meromorphic functions in several variables.
AbstractList In this paper we prove a generalized version of the Hayman Conjecture for p -adic meromorphic functions in several variables.
Author Le Thu, Thi Hoai
An, Vu Hoai
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  surname: Le Thu
  fullname: Le Thu, Thi Hoai
  organization: Quang Binh University
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Cites_doi 10.2307/1969890
10.2996/kmj/1050496651
10.1112/jlms/s1-42.1.389
10.1090/S0002-9947-97-01874-6
10.1090/S1079-6762-06-00158-2
10.4171/RMI/422
10.1007/BF03321066
10.1007/978-94-015-9415-8
10.11650/twjm/1500407516
10.11650/twjm/1500405180
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Keywords p-adic meromorphic functions in several variables
Hayman conjecture
Language English
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References Clunie (CR3) 1967; 42
Hayman (CR8) 1959; 2
Alotaibi (CR1) 2004; 4
CR5
Cherry, Ye (CR4) 1997; 349
Chen, Fang (CR2) 1995; 38
CR10
Lahiri, Dewan (CR11) 2003; 26
Ojeda (CR13) 2008; 12
Khoai, An (CR7) 2011; XX
Nevo, Pang, Zalcman (CR12) 2006; 12
Pang, Nevo, Zalcman (CR14) 2005; 21
Khoai, An (CR6) 2003; 7
Hayman (CR9) 1967
W. K. Hayman (2128_CR9) 1967
W. Cherry (2128_CR4) 1997; 349
H. H. Khoai (2128_CR6) 2003; 7
J. Clunie (2128_CR3) 1967; 42
X. C. Pang (2128_CR14) 2005; 21
2128_CR10
H. H. Chen (2128_CR2) 1995; 38
A. Alotaibi (2128_CR1) 2004; 4
2128_CR5
Sh. Nevo (2128_CR12) 2006; 12
H. H. Khoai (2128_CR7) 2011; XX
I. Lahiri (2128_CR11) 2003; 26
W. K. Hayman (2128_CR8) 1959; 2
J. Ojeda (2128_CR13) 2008; 12
References_xml – volume: 2
  start-page: 9
  issue: 70
  year: 1959
  end-page: 42
  ident: CR8
  article-title: Picard values of meromorphic functions and their derivatives
  publication-title: Ann. Math.
  doi: 10.2307/1969890
– volume: 4
  start-page: 227
  issue: 1
  year: 2004
  end-page: 235
  ident: CR1
  article-title: On the zeros of ( ) for ≥ 2
  publication-title: Comp. Meth. Func. Theory
– volume: 26
  start-page: 95
  year: 2003
  end-page: 100
  ident: CR11
  article-title: Value distribution of the product of a meromorphic function and its derivative
  publication-title: Kodai Math. J.
  doi: 10.2996/kmj/1050496651
– ident: CR10
– volume: 7
  start-page: 51
  issue: 1
  year: 2003
  end-page: 67
  ident: CR6
  article-title: Value distribution on -adic hypersurfaces
  publication-title: Taiwanese J. Math.
– volume: 12
  start-page: 2295
  issue: 9
  year: 2008
  end-page: 2313
  ident: CR13
  article-title: Hayman’s conjecture in a -adic field
  publication-title: Taiwanese J. Math.
– volume: 38
  start-page: 789
  year: 1995
  end-page: 798
  ident: CR2
  article-title: On the value distribution of ′
  publication-title: Sci. China Ser. A
– volume: 42
  start-page: 389
  year: 1967
  end-page: 392
  ident: CR3
  article-title: On a result of Hayman
  publication-title: J. London Math. Soc.
  doi: 10.1112/jlms/s1-42.1.389
– volume: 349
  start-page: 5043
  year: 1997
  end-page: 5071
  ident: CR4
  article-title: Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem
  publication-title: Trans. Amer.Math. Soc.
  doi: 10.1090/S0002-9947-97-01874-6
– ident: CR5
– volume: XX
  start-page: 135
  year: 2011
  end-page: 149
  ident: CR7
  article-title: Value distribution problem for -adic meromorphic functions and their derivatives
  publication-title: Ann. Fac. Sc. Toulouse
– volume: 12
  start-page: 37
  year: 2006
  end-page: 43
  ident: CR12
  article-title: Picard-Hayman behavior of derivatives of meromorphic functions with multiple zeros
  publication-title: Elect. Res. Announc. of the AMS
  doi: 10.1090/S1079-6762-06-00158-2
– year: 1967
  ident: CR9
  publication-title: Research Problems in Function Theory
– volume: 21
  start-page: 249
  year: 2005
  end-page: 262
  ident: CR14
  article-title: Quasinormal families of meromorphic functions
  publication-title: Rev. Mat. Iberoamericana
  doi: 10.4171/RMI/422
– volume: 4
  start-page: 227
  issue: 1
  year: 2004
  ident: 2128_CR1
  publication-title: Comp. Meth. Func. Theory
  doi: 10.1007/BF03321066
– volume: 349
  start-page: 5043
  year: 1997
  ident: 2128_CR4
  publication-title: Trans. Amer.Math. Soc.
  doi: 10.1090/S0002-9947-97-01874-6
– ident: 2128_CR10
  doi: 10.1007/978-94-015-9415-8
– volume: 2
  start-page: 9
  issue: 70
  year: 1959
  ident: 2128_CR8
  publication-title: Ann. Math.
  doi: 10.2307/1969890
– ident: 2128_CR5
– volume: 42
  start-page: 389
  year: 1967
  ident: 2128_CR3
  publication-title: J. London Math. Soc.
  doi: 10.1112/jlms/s1-42.1.389
– volume: 7
  start-page: 51
  issue: 1
  year: 2003
  ident: 2128_CR6
  publication-title: Taiwanese J. Math.
  doi: 10.11650/twjm/1500407516
– volume: 38
  start-page: 789
  year: 1995
  ident: 2128_CR2
  publication-title: Sci. China Ser. A
– volume: XX
  start-page: 135
  year: 2011
  ident: 2128_CR7
  publication-title: Ann. Fac. Sc. Toulouse
– volume: 12
  start-page: 2295
  issue: 9
  year: 2008
  ident: 2128_CR13
  publication-title: Taiwanese J. Math.
  doi: 10.11650/twjm/1500405180
– volume-title: Research Problems in Function Theory
  year: 1967
  ident: 2128_CR9
– volume: 12
  start-page: 37
  year: 2006
  ident: 2128_CR12
  publication-title: Elect. Res. Announc. of the AMS
  doi: 10.1090/S1079-6762-06-00158-2
– volume: 26
  start-page: 95
  year: 2003
  ident: 2128_CR11
  publication-title: Kodai Math. J.
  doi: 10.2996/kmj/1050496651
– volume: 21
  start-page: 249
  year: 2005
  ident: 2128_CR14
  publication-title: Rev. Mat. Iberoamericana
  doi: 10.4171/RMI/422
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Snippet In this paper we prove a generalized version of the Hayman Conjecture for p -adic meromorphic functions in several variables.
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Mathematics and Statistics
Title Hayman conjecture for p-adic meromorphic functions in several variables
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