Value-sharing problem for \(p\)-adic meromorphic functions and their difference operators and difference polynomials

DOI10.1007/s11253-012-0636-yzbMath1272.30066OpenAlexW2112031684MaRDI QIDQ1933321

Vu Hoai An, Ha Huy Khoai

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0636-y

zbMATH Keywords

uniqueness problemHayman conjecture\(p\)-adic meromorphic function

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Non-Archimedean function theory (30G06)

Related Items (7)

Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field ⋮ On uniqueness problem over non-Archimedean field in the light of four and five IM shared sets ⋮ Subsequent investigations of the least cardinalities of unique range set for two minimum weights over a non-Archimedean field ⋮ Value-sharing and uniqueness problems for non-Archimedean differential polynomials in several variables ⋮ Uniqueness for the difference monomials of \(p\)-adic entire functions ⋮ On the extended class of SUPM and their generating URSM over non-Archimedean field ⋮ Unnamed Item

Cites Work

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• Value distribution of the difference operator
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• Value distribution for \(p\)-adic hypersurfaces.
• On the zeros of \(af(f^{(k)})^n-1\) for \(n\geq 2\)
• The value distribution of \(f^ n f'\)
• Unicity of meromorphic functions related to their derivatives
• Functional equations in a \(p\)-adic context
• Non-Archimedian analytic functions taking the same values at the same points
• Picard-Hayman behavior of derivatives of meromorphic functions with multiple zeros
• p-ADIC NEVANLINNA-CARTAN THEOREM
• On a Result of Hayman

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