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

Loading next page...
 
/lp/springer_journal/conditions-for-starlikeness-of-multivalent-functions-6UtBDoj5bM
Publisher
Springer International Publishing
Copyright
Copyright © 2017 by 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

References

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
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

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.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off