Urs, ursim, and non-urs for \(p\)-adic functions and polynomials

DOI10.1006/jnth.1998.2324zbMath1036.11062OpenAlexW2064349758MaRDI QIDQ1283048

Labib Haddad, Robert Vidal, Alain Escassut

Publication date: 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2324

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean function theory (30G06)

Related Items (11)

Complex meromorphic functions \(f^{\prime}P^{\prime}(f)\) and \(g^{\prime}P^{\prime}(g)\) sharing small function with finite weight ⋮ Property \(f^{-1}(S)=g^{-1}(S)\) for entire and meromorphic \(P\)-adic functions ⋮ Meromorphic functions of uniqueness ⋮ On uniqueness problem over non-Archimedean field in the light of four and five IM shared sets ⋮ The functional equation \(P(f)=Q(g)\) in a \(p\)-adic field. ⋮ Some remarks on the genericity of unique range sets for meromorphic functions ⋮ Uniqueness of differential polynomials of meromorphic functions sharing a small function without counting multiplicity ⋮ On uniqueness polynomials and bi-URS for \(p\)-adic meromorphic functions ⋮ On the extended class of SUPM and their generating URSM over non-Archimedean field ⋮ \(p\)-adic meromorphic functions \(f^\prime P^\prime (f), g^\prime P^\prime (g)\), sharing a small function ⋮ Applications of the \(p\)-adic Nevanlinna theory to functional equations.

Cites Work

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• A new characterization of Gundersen's example of two meromorphic functions sharing four values
• Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen
• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• On preimage and range sets of meromorphic functions
• Meromorphic functions sharing three values with a derivative
• Applications of \(p\)-adic Nevanlinna theory
• Some estimates for meromorphic functions sharing four values
• On uniqueness of \(p\)-adic entire functions
• Some further results on the unique range sets of meromorphic functions
• Meromorphic functions sharing one value and unique range sets
• Non-Archimedian analytic functions taking the same values at the same points
• A new example of meromorphic functions sharing four values and a uniqueness theorem
• On uniqueness of 𝑝-adic meromorphic functions
• Uniqueness of non-Archimedean entire functions sharing sets of values counting multiplicity
• Unicity theorems for entire or meromorphic functions
• A unique range set for meromorphic functions with 11 elements
• On the unique range set of meromorphic functions
• On a question of Gross

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