On λ-pseudo bi-starlike functions related to some conic domains

Authors

  • G. Murugusundaramoorthy Vellore Institute of Technology, India
  • J. Sokol University of Rzesz´ow, Poland

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.2.15

Keywords:

Analytic Function, Starlike Function, Convex Function, Bi-Univalent Function, Subordination

Abstract

In this paper, we introduce a new class ℒ Σλ (φ) of λ-pseudo bi-starlike functions and determine the bounds for |a2| and |a3| where a2, a3 are the initial Taylor coefficients of f ∈ ℒ Σ λ (φ). Furthermore, we estimate the Fekete-Szeg¨o functional for f ∈ ℒ Σλ (φ).

Author Biographies

G. Murugusundaramoorthy, Vellore Institute of Technology, India

Department of Mathematics, School of Advanced Sciences, Vellore - 632014

J. Sokol, University of Rzesz´ow, Poland

Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 

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Published

2020-01-20

Issue

Vol. 12(61) No. 2 (2019)

Section

MATHEMATICS