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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Khalsa College)
Singh, Gurcharanjit (Department of Mathematics, G.N.D.U. College)

Singh, Gagandeep, & Singh, Gurcharanjit. (2022). ESTIMATE OF THIRD ORDER HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH CARDIOID DOMAIN. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 307-319, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.307

복사

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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논문 상세

Vol.29 No.4

ESTIMATE OF THIRD ORDER HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH CARDIOID DOMAIN

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학