Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions

H. M. Srivastava ()
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H. M. Srivastava: University of Victoria

Chapter Chapter 38 in Nonlinear Analysis, 2012, pp 607-630 from Springer

Abstract: Abstract In recent year, various interesting properties and characteristics (including, for example, coefficient bounds and coefficient inequalities) of many different subclasses of univalent and bi-univalent analytic functions have been systematically investigated. The main object of this essentially survey-cum-expository article is first to present a brief account of some important contributions to the theory of univalent and bi-univalent analytic functions, which have been made in several recent works. References to other more recent investigations involving many closely-related function classes are also provided for motivating and encouraging future researches on these topics in Geometric Function Theory of Complex Analysis.

Keywords: Analytic functions of real or complex orders; Univalent functions; Bi-univalent functions; Taylor–Maclaurin series; Inverse functions; Koebe function; Starlike functions; Convex functions; Bi-starlike functions; Bi-convex functions; Strongly bi-starlike functions; Coefficient bounds; Close-to-convex functions; Schwarz function; Integral operators; Univalence criteria; 30C45; 30C50; 34-99; 44-99 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-3498-6_38

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