Uniqueness for the difference monomials of \(p\)-adic entire functions

DOI10.32513/tbilisi/1529460023zbMath1435.30134OpenAlexW2809304438MaRDI QIDQ2299492

Yanyan Li

Publication date: 21 February 2020

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

Full work available at URL: https://projecteuclid.org/euclid.tbilisi/1529460023

zbMATH Keywords

uniqueness resultsdifference monomials\(p\)-adic entire functions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Non-Archimedean function theory (30G06)

Related Items (2)

Subsequent investigations of the least cardinalities of unique range set for two minimum weights over a non-Archimedean field ⋮ On the extended class of SUPM and their generating URSM over non-Archimedean field

Cites Work

• Uniqueness theorems on difference monomials of entire functions
• Picard values and uniqueness for \(p\)-adic meromorphic functions
• Uniqueness and periodicity of meromorphic functions concerning the difference operator
• \(p\)-adic meromorphic functions \(f^\prime P^\prime (f), g^\prime P^\prime (g)\), sharing a small function
• Picard values of meromorphic functions and their derivatives
• On p-adic meromorphic functions
• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• Hayman's conjecture in a \(p\)-adic field
• On uniqueness of \(p\)-adic entire functions
• Value distribution for \(p\)-adic hypersurfaces.
• Value-sharing problem for \(p\)-adic meromorphic functions and their difference operators and difference polynomials
• New results on applications of Nevanlinna methods to value sharing problems
• Non-Archimedian analytic functions taking the same values at the same points
• URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC
• Uniqueness of non-Archimedean entire functions sharing sets of values counting multiplicity
• Uniqueness polynomials and bi-unique range sets for rational functions and non-Archimedean meromorphic functions
• On a Result of Hayman
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