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http://dx.doi.org/10.4134/JKMS.j200465

INCLUSION RELATIONS AND RADIUS PROBLEMS FOR A SUBCLASS OF STARLIKE FUNCTIONS  

Gupta, Prachi (Department of Mathematics University of Delhi)
Nagpal, Sumit (Department of Mathematics Ramanujan College)
Ravichandran, Vaithiyanathan (Department of Mathematics National Institute of Technology)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.5, 2021 , pp. 1147-1180 More about this Journal
Abstract
By considering the polynomial function 𝜙car(z) = 1 + z + z2/2, we define the class 𝓢*car consisting of normalized analytic functions f such that zf'/f is subordinate to 𝜙car in the unit disk. The inclusion relations and various radii constants associated with the class 𝓢*car and its connection with several well-known subclasses of starlike functions is established. As an application, the obtained results are applied to derive the properties of the partial sums and convolution.
Keywords
Subordination; close-to-convex; starlike; cardioid; inclusion relation; radius problem; partial sum; convolution;
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Times Cited By KSCI : 3  (Citation Analysis)
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