NORMALITY CRITERIONS ON SHARING A HOLOMORPHIC FUNCTION

Let F be a family of holomorphic functions in a domain D, whose zeros have multiplicity at least 4 in D. Let ( 0) be a holomorphic function in D, whose zeros have multiplicity at most 2. If for each pair of functions {f, g} F , f and g share in D, then F is normal in D.

Publication Details

Journal
Poincare Journal of Analysis and Applications
Published
2024-11-29
DOI
https://doi.org/10.46753/pjaa.2024.v011i02.008
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

NORMALITY CRITERIONS ON SHARING A HOLOMORPHIC FUNCTION

Poincare Journal of Analysis and Applications
Meromorphic and Entire Functions
article

NORMALITY CRITERIONS ON SHARING A HOLOMORPHIC FUNCTION

article en

Abstract

Let F be a family of holomorphic functions in a domain D, whose zeros have multiplicity at least 4 in D. Let ( 0) be a holomorphic function in D, whose zeros have multiplicity at most 2. If for each pair of functions {f, g} F , f and g share in D, then F is normal in D.

Poincare Journal of Analysis and ApplicationsVol. 11(2)
Reduced inequalities
Openalex Percentile: Top 64%
Meromorphic and Entire Functions
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

NORMALITY CRITERIONS ON SHARING A HOLOMORPHIC FUNCTION · Poincare Journal of Analysis and Applications (2024) | TGRS Research Map | TGRS