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

AIMS Mathematics

N. E. Cho¹  G. Murugusundaramoorthy²  K. R. Karthikeyan³  S. Sivasubramanian⁴ 

[1] 1. Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea;2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamilnadu, India;3. 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;4. Department of Mathematics, University College of Engineering, Anna University, Tindivanam, India;

关键词: analytic functions;    starlike functions;    functions with positive real part;    subordination;    fekete-szegö problem;    coefficient inequalities;    q-calculus;   

DOI  :  10.3934/math.2022486

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown