WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
On a Class of Function of Bounded Turning with Negative Coefficients Associated with a Generalized Multiplier Transformation
Authors: , ,
Abstract: The study of univalent functions and its applications is an hallmark of geometric function theory. Since univalent functions are analytic and has one-to-one mapping, it has a wide range of applications in the fields of studies where transformations (enlargements and reductions) are done. The functions also have angle and orientation preserving properties among other uses. Many authors have defined and studied various classes of univalent functions using different approaches and tools. In this study however, the authors used a generalized multiplier transformation to define a and investigate a new class of functions T_σ^n (λ). Various properties of the class of functions were investigated. The results extend some known results in literature.
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Keywords: Univalent, unit disc, multiplier transformation, function of bounded turning, starlike functions, convex functions, and coefficients
Pages: 71-76
DOI: 10.37394/23206.2022.21.11