Abstract
For analytic functions f(z) in the open unit disk \({\mathbb{U}}\) , a class \({\mathcal{U}_p(\lambda )}\) of f(z) satisfying some conditions is introduced. The object of the present paper is to discuss the radius properties of f(z) such that \({\dfrac{1}{\delta^p }f(\delta z) \,\in}\) \({\mathcal{U}_p(\lambda)}\) for \({f(z) \in \mathcal{A}_p}\).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Obradović M., Ponnusamy S.: Radius properties for subclasses of univalent functions. Analysis (Munich) 25, 183–188 (2005)
Robertson M.S.: On the theory of univalent function. Ann. Math. 37, 374–408 (1936)
Shimoda Y., Hayami T., Hashidume Y., Owa S.: Radius properties of certain analytic functions. Int. J. Open Problems Complex Anal. 1, 29–34 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shimoda, Y., Uyanik, N. & Owa, S. Notes on Radius Properties of p-Valently Starlike Functions. Arab J Sci Eng 36, 1635–1640 (2011). https://doi.org/10.1007/s13369-011-0133-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-011-0133-x