On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli

On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli

Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli. Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and Fekete–Szegö problem for this class...

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Veröffentlicht in:Journal of function spaces 2020, Vol.2020 (2020), p.1-8
Hauptverfasser: Seoudy, Tamer M., Shammaky, Amnah E.
Format: Artikel
Sprache:eng
Schlagworte:
Convolution
Equality
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Zusammenfassung:Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli. Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and Fekete–Szegö problem for this class.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/6622230