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Inclusion relations and radius problems for a subclass of starlike functions

Vaithiyanathan Ravichandran|Sumit Nagpal|Prachi Gupta
대한수학회 (The Korean Mathematical Society)|2021.09|대한수학회지 (Journal of the KMS)|제58권 제5호|pp. 1147-1180|DOI 10.4134/JKMS.j200465

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참고문헌

키워드

Subordinationstarlikeconvolutioninclusion relationpartial sumclose-to-convexcardioidradius problem
주제분류수학

초록

By considering the polynomial function $\phi_{car}(z)=1+z+z^2/2,$ we define the class $\Scar$ consisting of normalized analytic functions $f$ such that $zf'/f$ is subordinate to $\phi_{car}$ in the unit disk. The inclusion relations and various radii constants associated with the class $\Scar$ 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.

Abstract

By considering the polynomial function $\phi_{car}(z)=1+z+z^2/2,$ we define the class $\Scar$ consisting of normalized analytic functions $f$ such that $zf'/f$ is subordinate to $\phi_{car}$ in the unit disk. The inclusion relations and various radii constants associated with the class $\Scar$ 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.

참고문헌 (52)

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