Radius of Strong Starlikeness for Some Classes of Analytic Functions

Authors

  • B Srutha Keerthi School of Advanced Sciences VIT Chennai Vandalur-Kelambakkam Road, Chennai - 600 127.
  • A Gangadharan Easwari Engineering College, Ramapuram, Chennai
  • S Chinthamani Anna University

DOI:

https://doi.org/10.24297/jam.v9i2.2409

Keywords:

Analytic functions, radius of starlikeness, radius of strong starlikeness, subordination, normalization.

Abstract

Let φ(z) be an analytic function with positive real part on ∆ =
{z; |z| < 1} with φ(0) = 1, φ
0
(0) > 0 which maps the unit disk ∆ onto
a region starlike with respect to 1 and symmetric with respect to the real axis. The radii of strong starlikeness of certain classes of analytic functions are computed.

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Author Biographies

B Srutha Keerthi, School of Advanced Sciences VIT Chennai Vandalur-Kelambakkam Road, Chennai - 600 127.

Mathematics Division

A Gangadharan, Easwari Engineering College, Ramapuram, Chennai

Professor

S Chinthamani, Anna University

Research Scholar

Published

2014-07-14

How to Cite

Keerthi, B. S., Gangadharan, A., & Chinthamani, S. (2014). Radius of Strong Starlikeness for Some Classes of Analytic Functions. JOURNAL OF ADVANCES IN MATHEMATICS, 9(2), 1938–1945. https://doi.org/10.24297/jam.v9i2.2409

Issue

Section

Articles