Higher Order Close-to-Convex Functions related with Conic Domain

Authors

Khalida Inayat Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanFollow
Muhammad Aslam Noor

Author Country (or Countries)

Pakistan

Abstract

In this paper we define and study a class of analytic functions which map the open unit disk onto same conic regions and are related to Bazilevic and higher order close-to-convex functions. We investigate rate of growth of coefficients, Hankel determinant problem, inclusion result and establish univalence criterion. Some other interesting properties of this class are also studied.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080541

Recommended Citation

Inayat Noor, Khalida and Aslam Noor, Muhammad (2014) "Higher Order Close-to-Convex Functions related with Conic Domain," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 41.
DOI: http://dx.doi.org/10.12785/amis/080541
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/41