Meromorphic functions of uniqueness

DOI10.1016/j.bulsci.2006.05.004zbMath1111.30024OpenAlexW2034590554MaRDI QIDQ877899

Alain Escassut

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.05.004

zbMATH Keywords

uniquenessaffinely rigid setsp-adic and complex analytic functionsvalues on zeros of the derivative

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25)

Related Items (10)

Complex meromorphic functions \(f^{\prime}P^{\prime}(f)\) and \(g^{\prime}P^{\prime}(g)\) sharing small function with finite weight ⋮ Algebraic curvesP(x) −Q(y) = 0 and functional equations ⋮ P-adic Nevanlinna theory outside of a hole ⋮ Uniqueness theorems for differential polynomials sharing a small function ⋮ Uniqueness of differential polynomials of meromorphic functions sharing a small function without counting multiplicity ⋮ New results on applications of Nevanlinna methods to value sharing problems ⋮ 𝑝-adic meromorphic functions 𝑓’𝑃’(𝑓),𝑔’𝑃’(𝑔) sharing a small function, ignoring multiplicity ⋮ Classical 𝑝-adic Nevanlinna theory and Nevalinna Theory out of a hole ⋮ Functional equations in a \(p\)-adic context ⋮ \(p\)-adic meromorphic functions \(f^\prime P^\prime (f), g^\prime P^\prime (g)\), sharing a small function

Cites Work

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• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
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• Nombres transcendants
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• On uniqueness of \(p\)-adic entire functions
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• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• On uniqueness of meromorphic functions sharing finite sets
• URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC
• Uniqueness of non-Archimedean entire functions sharing sets of values counting multiplicity
• A unique range set for meromorphic functions with 11 elements
• Meromorphic functions sharing a set with 17 elements ignoring multiplicities
• Rational decompositions of complex meromorphic functions
• Unique range sets and uniqueness polynomials in positive characteristic II
• On the unique range set of meromorphic functions
• On uniqueness polynomials and bi-URS for \(p\)-adic meromorphic functions

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