On some results for -spirallike functions of complex order of higher-order derivatives of multivalent functions.
Vijaywargiya, Pramila (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Displaying similar documents to “On Some Results for -spirallike and -robertson Functions of Complex Order”
On some results for -spirallike functions of complex order of higher-order derivatives of multivalent functions.
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MSC 2010: 30C45 The main object of this article is to introduce sufficient conditions of univalency for a class of analytic functions with finitely many coefficients defined by approximate functions due to Suffridge on the unit disk of the complex plane whose image is saddle-shaped. Sandwich theorem is also discussed.
Application of Subordination Principle to Log-Harmonic alpha-spirallike Mappings
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Integral representations of bounded starlike functions
Frode Rønning (1995)
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For α ≥ 0 let denote the class of functions defined for |z| < 1 by integrating if α > 0, and log(1/(1-xz)) if α = 0, against a complex measure on |x| = 1. We study families of starlike functions where zf’(z)/f(z) ranges over a parabola with given focus and vertex. We prove a number of properties of these functions, among others that they are bounded and that they belong to . In general, it is only known that bounded starlike functions belong to for α > 0.