Properties of meromorphic \(\varphi \)-normal functions

DOI10.1307/MMJ/1301586306zbMath1220.30046OpenAlexW2044632677MaRDI QIDQ538012

Jouni Rättyä, Rauno Aulaskari

Publication date: 23 May 2011

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

Full work available at URL: https://doi.org/10.1307/mmj/1301586306

zbMATH Keywords

normal function\(\varphi\)-normal functions

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45)

Related Items (11)

On the φ-normal meromorphic functions ⋮ On Lappan's five-valued theorem for \(\phi \)-normal functions of several variables ⋮ On non-normal solutions of linear differential equations ⋮ New findings on the Bank-Sauer approach in oscillation theory ⋮ On \(\varphi\)-normal meromorphic functions ⋮ Zero separation results for solutions of second order linear differential equations ⋮ Two results on \(\varphi\)-normal functions ⋮ Growth estimates for meromorphic solutions of higher order algebraic differential equations ⋮ On Lappan's five-point theorem ⋮ Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves ⋮ On normal functions in several complex variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary behaviour and normal meromorphic functions
• A criterion for a meromorphic function to be normal
• Some properties and characterizations of \(a\)-normal functions
• On normal meromorphic functions
• A version of the Lohwater-Pommerenke theorem for strongly normal functions
• Normal families
• Asymptotic values of strongly normal functions
• Preimages of one-point sets of Bloch and normal functions
• Non-normal sums and products of unbounded normal functions
• α-normal functions and yosida functions
• An Interpolation Problem for Bounded Analytic Functions
• Results on meromorphic ϕ-normal functions
• Normality and the Shimizu-Ahlfors characteristic function
• On Normality of Blaschke Quotients
• Nonnormal Dirichlet Quotients and Nonnormal Blaschke Quotients
• A Heuristic Principle in Complex Function Theory
• The spherical derivative and normal functions
• Shorter Notes: Nonnormal Sums and Products of Unbounded Normal Functions. II
• Normal Functions: L^p Estimates
• Some Characterizations of Normal and Little Normal Functions
• Blaschke Quotients and Normality

This page was built for publication: Properties of meromorphic \(\varphi \)-normal functions