Estimate of Third Order Hankel Determinant for a Certain Subclass of Analytic Functions associated with Cardioid Domain

Singh, Gagandeep; Singh, Gagandeep; Singh, Gurcharanjit; Singh, Gurcharanjit

doi:https://doi.org/10.7468/jksmeb.2022.29.4.307

P-ISSN1226-0657
E-ISSN2287-6081
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Vol.29 No.4

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Estimate of Third Order Hankel Determinant for a Certain Subclass of Analytic Functions associated with Cardioid Domain

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2022, v.29 no.4, pp.307-319

https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.307

Singh, Gagandeep
Singh, Gurcharanjit

Singh,, G. , & Singh,, G. (2022). Estimate of Third Order Hankel Determinant for a Certain Subclass of Analytic Functions associated with Cardioid Domain. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(4), 307-319, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.307

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Abstract

The present paper deals with the upper bound of third order Hankel determinant for a certain subclass of analytic functions associated with Cardioid domain in the open unit disc E = {z ∈ ℂ : |z| < 1}. The results proved here generalize the results of several earlier works.

keywords: analytic functions, subordination, Cardioid domain, third Hankel determinant, Fekete-Szego inequality

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Article Contents

Vol.29 No.4

Estimate of Third Order Hankel Determinant for a Certain Subclass of Analytic Functions associated with Cardioid Domain

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics