Zeros of the derivative of a \(p\)-adic meromorphic function

DOI10.1016/j.bulsci.2012.07.003zbMath1296.30054OpenAlexW2050287070MaRDI QIDQ695681

Kamal Boussaf, Alain Escassut, Jean-Paul Bézivin

Publication date: 14 December 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.07.003

zbMATH Keywords

\(p\)-adic meromorphic functionsdistribution of valuesPicard's values

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Normal functions of one complex variable, normal families (30D45) Entire functions of one complex variable (general theory) (30D20) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25)

Related Items (11)

Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field ⋮ Unnamed Item ⋮ Order, type and cotype of growth for \(p\)-adic entire functions: a survey with additional properties ⋮ Unnamed Item ⋮ $(p,q)$th order oriented growth measurement of composite $p$-adic entire functions ⋮ Zeros of \(p\)-adic differential polynomials ⋮ Classical 𝑝-adic Nevanlinna theory and Nevalinna Theory out of a hole ⋮ A journey throughout the history of 𝑝-adic numbers ⋮ Some growth properties of composite p-adic entire functions on the basis of their relative order and relative lower order ⋮ Thep-adic Hayman conjecture whenn= 2 ⋮ Relative order and relative type based growth properties of iterated $p$ adic entire functions

Cites Work

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• Zeros of the derivative of a \(p\)-adic meromorphic function and applications
• Value distribution of \(p\)-adic meromorphic functions
• Hayman's conjecture in a \(p\)-adic field
• Picard values of \(p\)-adic meromorphic functions
• Wronskien et équations différentielles p-adiques

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