Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)

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Publication:910894

DOI10.1007/BF02568432zbMath0697.30047OpenAlexW2053872331MaRDI QIDQ910894

Abdelbaki Boutabaa

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155499




Related Items (41)

Property \(f^{-1}(S)=g^{-1}(S)\) for entire and meromorphic \(P\)-adic functionsExceptional values ofp-adic analytic functions and derivativesValue sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean fieldDecomposition of \(p\)-adic meromorphic functionsOn \(p\)-adic holomorphic curvesA Picard-type theorem and a uniqueness theorem of non-Archimedean analytic curves in projective spaceUnnamed ItemMeromorphic functions of uniquenessP-adic Nevanlinna theory outside of a holeUnnamed ItemAn ultrametric Nevanlinna's second main theorem for small functions of a special typeOn the growth order of meromorphic solutions of some ultrametric \(q \)-difference equationsOn some properties of ultrametric meromorphic solutions of Malmquist typeOn the growth of solutions of difference equations in ultrametric fieldsAn Ahlfors Islands Theorem for non-archimedean meromorphic functionsA note on $p$-adic Nevanlinna theoryValue-sharing and uniqueness problems for non-Archimedean differential polynomials in several variablesUnnamed ItemURS and bi-URS for meromorphic functions in a non-Archimedean field$(p,q)$th order oriented growth measurement of composite $p$-adic entire functionsNon-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problemMeromorphic solutions of equations over non-Archimedean fieldsOn uniqueness polynomials and bi-URS for \(p\)-adic meromorphic functionsA note on \(p\)-adic linear differential equationsAbout the \(p\)-adic Yosida equation inside a diskNew results on applications of Nevanlinna methods to value sharing problemsZeros of \(p\)-adic differential polynomialsZEROS OF ULTRAMETRIC MEROMORPHIC FUNCTIONS f′ fn(f − a)k − α𝑝-adic meromorphic functions 𝑓’𝑃’(𝑓),𝑔’𝑃’(𝑔) sharing a small function, ignoring multiplicityClassical 𝑝-adic Nevanlinna theory and Nevalinna Theory out of a holeA journey throughout the history of 𝑝-adic numbersFunctional equations in a \(p\)-adic contextSome growth properties of composite p-adic entire functions on the basis of their relative order and relative lower orderUniqueness for the difference monomials of \(p\)-adic entire functions\(p\)-adic meromorphic functions \(f^\prime P^\prime (f), g^\prime P^\prime (g)\), sharing a small functionNew applications of the \(p\)-adic Nevanlinna theoryUrs, ursim, and non-urs for \(p\)-adic functions and polynomialsApplications of the \(p\)-adic Nevanlinna theory to functional equations.Thep-adic Hayman conjecture whenn= 2Unnamed ItemRelative order and relative type based growth properties of iterated $p$ adic entire functions



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