Fekete-Szego problems for generalized Sakaguchi type functions associated with quasisubordination

Trailokya Panigrahi; Ravindra Kumar Raina

doi:10.24193/subbmath.2018.3.05

Fekete-Szego problems for generalized Sakaguchi type functions associated with quasisubordination

Authors

Trailokya Panigrahi KIIT University, Bhubaneswar
Ravindra Kumar Raina College of Technology & Engineering M.P. University of Agri. & Technology

DOI:

https://doi.org/10.24193/subbmath.2018.3.05

Keywords:

Analytic functions, subordination, quasi-subordination, Fekete-Szego inequality, Sakaguchi functions.

Abstract

In the present paper, the authors introduce a generalized Sakaguchi
type non-Bazilevic function class M_{q}^{\lambda, \beta}(ϕ, s, t) of analytic functions involving quasi-subordination and obtain bounds for the Fekete-
Szego functional |a_{3}-\mu a_{2}^{2}| for the functions belonging to the above and associated classes. Some important and useful special cases of the main
results are also pointed out.

Author Biographies

Trailokya Panigrahi, KIIT University, Bhubaneswar

Associate Professor, Department of Mathematics
Ravindra Kumar Raina, College of Technology & Engineering M.P. University of Agri. & Technology

Professor, Department of Mathematics

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Published

2018-09-26

Issue

Vol. 63 No. 3 (2018)

Section

Articles

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