Two normality criteria and the converse of the Bloch principle

DOI10.1016/J.JMAA.2008.11.066zbMath1168.30018OpenAlexW2070862849MaRDI QIDQ1014657

Jarkko Rieppo, Kuldeep Singh Charak

Publication date: 29 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.066

zbMATH Keywords

value distributionmeromorphic functionnormal familyBloch principledifferential polynomialnormality criteria of Lahiri's type

Mathematics Subject Classification ID

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

Related Items (6)

A value distribution result related to Hayman's alternative ⋮ Some normal criteria about shared values with their multiplicity zeros ⋮ Counterexamples to bicomplex analogue of Bloch's principle and its converse ⋮ SOME NORMALITY CRITERIA AND A COUNTEREXAMPLE TO THE CONVERSE OF BLOCH’S PRINCIPLE ⋮ Some normality criteria of meromorphic functions ⋮ Normality criteria of Lahiri's type and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Picard values of meromorphic functions and their derivatives
• On the Bloch heuristic principle, normality, and totally ramified values
• On normal criterion of meromorphic functions
• Über die Nullstellen von Differentialpolynomen
• Über ein Problem von Hayman
• Bloch's principle and normal criterion
• On the value distribution of \(ff^{(k)}\)
• On the zeros of \(af(f^{(k)})^n-1\) for \(n\geq 2\)
• On the singularities of the inverse to a meromorphic function of finite order
• Bloch's principle
• A Heuristic Principle in Complex Function Theory

This page was built for publication: Two normality criteria and the converse of the Bloch principle