Coefficient estimates for certain subclasses of starlike functions of complex order associated with hyperbolic domain

Authors

  • K.R. Karthikeyan National University of Science and Technology, Muscat, Sultanate of Oman
  • G. Murugusundaramoorthy Vellore Institute of Technology, Deemed to be University, Vellore, Tamilnadu, India
  • A. Nistor-Serban Transilvania University of Brasov, Romania 
  • D. Raducanu Transilvania University of Brasov, Romania

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.17

Keywords:

Janowski starlike functions, conic regions, coefficient inequalities, q-calculus, differential operator

Abstract

In this paper, we obtain the coefficient inequalities for functions in certain subclasses of Janowski starlike functions of complex order which are related starlike functions associated with a hyperbolic domain. Our results extend the study of various subclasses of analytic functions. Several applications of our results are also mentioned.

Author Biographies

K.R. Karthikeyan, National University of Science and Technology, Muscat, Sultanate of Oman

Department of Mathematics and Statistics, College of Engineering

G. Murugusundaramoorthy, Vellore Institute of Technology, Deemed to be University, Vellore, Tamilnadu, India

Department of Mathematics, School of Advanced Sciences

A. Nistor-Serban, Transilvania University of Brasov, Romania 

Faculty of Mathematics and Informatics 

D. Raducanu, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

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Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS