# Conditions for Starlikeness of Multivalent Functions

Conditions for Starlikeness of Multivalent Functions A function f(z) meromorphic in a domain \$\$D\subset {\mathbb {C}}\$\$ D ⊂ C is said to be p-valent in D if for each w the equation \$\$f(z)=w\$\$ f ( z ) = w has at most p roots in D, where roots are counted in accordance with their multiplicity, and there is some v such that the equation \$\$f(z)=v\$\$ f ( z ) = v has exactly p roots in D. We prove some new sufficient conditions for functions to be p-valently starlike in the unit disc. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

# Conditions for Starlikeness of Multivalent Functions

, Volume 72 (2) – Jan 6, 2017
9 pages

/lp/springer_journal/conditions-for-starlikeness-of-multivalent-functions-6UtBDoj5bM
Publisher
Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-016-0646-4
Publisher site
See Article on Publisher Site

### Abstract

A function f(z) meromorphic in a domain \$\$D\subset {\mathbb {C}}\$\$ D ⊂ C is said to be p-valent in D if for each w the equation \$\$f(z)=w\$\$ f ( z ) = w has at most p roots in D, where roots are counted in accordance with their multiplicity, and there is some v such that the equation \$\$f(z)=v\$\$ f ( z ) = v has exactly p roots in D. We prove some new sufficient conditions for functions to be p-valently starlike in the unit disc.

### Journal

Results in MathematicsSpringer Journals

Published: Jan 6, 2017

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just \$49/month

### Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

### Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

### Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

### Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

DeepDyve

DeepDyve

### Pro

Price

FREE

\$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations