Radius Problems for Some Subclasses of Analytic Functions
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DOI: 10.1007/s11785-016-0584-x
Abstract: In this work, we define the class $${\mathcal {M}}(\alpha )$$M(α) of normalized analytic functions which satisfy the following two-sided inequality: $$\begin{aligned} 1+\frac{\alpha -\pi }{2\sin \alpha }< {{\mathfrak {R}}}{{\mathfrak {e}}}\left\{ \frac{zf'(z)}{f(z)}\right\} read more here.
Keywords: analytic functions; radius problems; problems subclasses; subclasses analytic ... See more keywords
Radius Problems for Starlike Functions Associated with the Sine Function
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DOI: 10.1007/s41980-018-0127-5
Abstract: Let $${\mathcal {S}}^*_s$$Ss∗ be the class of normalized analytic functions f defined on the unit disk such that the quantity $$zf'(z)/f(z)$$zf′(z)/f(z) lies in an eight-shaped region in the right-half plane, which is the image of… read more here.
Keywords: starlike functions; class; problems starlike; functions associated ... See more keywords
Coefficient functionals and radius problems of certain starlike functions
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DOI: 10.1142/s1793557122500899
Abstract: Ma–Minda class (of starlike functions) consists of normalized analytic functions [Formula: see text] defined on the unit disk for which the image of the function [Formula: see text] is contained in some starlike region lying… read more here.
Keywords: certain starlike; starlike functions; coefficient functionals; problems certain ... See more keywords