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ISSN : 1226-0657

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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

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 &#x2208; &#x2102; : &#x007C;z&#x007C; < 1}. The results proved here generalize the results of several earlier works.

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

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

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