Dr. Ritika
Mathematics
December 2022
Complex analysis has a number of subfields, one of which is called Geometric Function Theory. This subfield works with and researches the geometric features of analytic functions. To put it another way, geometric function theory is a branch of mathematics that is distinguished by an unusual marriage between geometry and analysis. In this article, we'll look at analytical functions that are defined on the complex plane C's open unit disc D=z:|z|1. With the normalization f(0) = 0 = f0(0) 1, let LU stand for the family of all locally univalent map-pings fanalytic in D. S stands for the subfamily of univalent mappings. Some significant and well-known standard subclasses of S are the class of convex, starlike of order 1/2, and close-to-convex mappings, designated by C, S, S(1/2), and K, respectively. However, it is not possible to analyze the class of these functions as a whole for a specific category of issues. Within the scope of this paper, we will investigate the issues that arise with several new kinds of functions that are connected to univalent functions. In this paper we discuss about some classes of analytic and univalent functions and Geometrical and Analytical Phenomena Related to Univalent Function Classes
121- 133
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