Radius of $p$-valent Strong Starlikeness for Certain Class of Analytic Functions


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Authors

  • A. Gangadharan Professor, Easwari Engineering College, Ramapuram, Chennai, Tamilnadu, India
  • S. Chinthamani Research Scholar, Anna University, Chennai, Tamilnadu, India
  • B. Srutha Keerthi Mathematics Division, School of Advanced Sciences, VIT Chennai, Vandalur-Kelambakkam Road, Chennai, Tamilnadu, India

Keywords:

Radius problem, subordination, analytic function, radius of starlikeness, strong starlikeness, radius of $p$-valent strongly starlikeness

Abstract

This paper deals with $p$-valent strongly starlikeness of the class $SP(\alpha, A, B)$ satisfying the subordination \[e^{i \alpha} \frac{zf^\prime(z)} {f(z)} \prec cos \ z \frac{1+Az} {1+Bz} + i \ sin \ \alpha,\] $f \in A$, $z \in \Delta$, $0 \leq \alpha < 1$, $-1 \leq B < A \leq 1$. We are concerned with computing the radius results for the above mentioned class and the results that we obtained are generalizations of earlier results obtained previously by different authors.

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Published

30-12-2015

How to Cite

A. Gangadharan, S. Chinthamani, & B. Srutha Keerthi. (2015). Radius of $p$-valent Strong Starlikeness for Certain Class of Analytic Functions. International Journal of Mathematics And Its Applications, 3(4 - F), 79–83. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/536

Issue

Vol. 3 No. 4 - F (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.