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Research Article | Open Access

Properties of λ-pseudo-starlike functions with respect to a boundary point

N. E. Cho1( ), G. Murugusundaramoorthy2, K. R. Karthikeyan3, S. Sivasubramanian4
Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamilnadu, India
Department of Applied Mathematics and Science, National University of Science & Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Sultanate of Oman
Department of Mathematics, University College of Engineering, Anna University, Tindivanam, India
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Abstract

The purpose of this present paper is to investigate some mapping properties of functions which map the unit disc onto a overlapped leaf-like curve, having real part greater than zero. Also we define a class of λ-pseudo starlike functions related to a leaf-like curve. Integral representation, inequalities for the initial Taylor-Maclaurin coefficients and Fekete-Szegö problem for subclasses of analytic functions related to various conic regions are obtained as our main results.

Keywords

analytic functionsstarlike functionsfunctions with positive real partsubordinationFekete-Szegö problemcoefficient inequalitiesq-calculus
CLC number: 30C45, 30C80

References

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8701-8714
DOI: 10.3934/math.2022486

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Cite this article:
Cho NE, Murugusundaramoorthy G, Karthikeyan KR, et al. Properties of λ-pseudo-starlike functions with respect to a boundary point. AIMS Mathematics, 2022, 7(5): 8701-8714. https://doi.org/10.3934/math.2022486

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Received: 17 January 2022
Revised: 22 February 2022
Accepted: 24 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)