Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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INCLUSION RELATIONS AND RADIUS PROBLEMS FOR A SUBCLASS OF STARLIKE FUNCTIONS

  • Received : 2020.08.15
  • Accepted : 2021.02.16
  • Published : 2021.09.01
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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

Acknowledgement

The first author is supported by a Junior Research Fellowship from Council of Scientific and Industrial Research (CSIR), New Delhi with File No. 09/045(1727)/2019-EMR-I.

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