Distortion, Radius of Concavity and Several Other Radii Results for Certain Classes of Functions

• Published in: Computational methods and function theory Vol. 25; no. 2; pp. 393 - 418
• Main Authors: Bhowmik, Bappaditya, Biswas, Souvik
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.06.2025
• Subjects: Concavity; Convexity

Let S(p) be the class of all meromorphic univalent functions defined in the unit disc D of the complex plane with a simple pole at z=p and normalized by the conditions f(0)=0 and f′(0)=1. In this article, we establish an estimate of the quantity |zf′/f| and obtain the region of variability of the fu...