Sharp Coefficient Bounds for Certain p-Valent Functions

Cho, Nak Eun; Kumar, Virendra; Kwon, Oh Sang; Sim, Young Jae

doi:10.1007/s40840-017-0587-4

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The Class Of Normalised Analytic Functions Of the Form F1

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2021

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Cited by 2 publications

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“…The p−valent analogue of this class was considered in [18,19] and investigated the bounds on second and third Hankel determinants. A generalisation of their work was done by Cho et al [11]. The work reported in the papers [12] and [2] inculcates us to estimate sharp lower and upper bounds on the third-order Hermitian-Toeplitz determinant for functions in the class R(α).…”

Section: The Class Of Normalised Analytic Functions Of the Form Fmentioning

confidence: 86%

Hermitian–Toeplitz determinants for functions with bounded turning

Kumar¹,

Cho²

2021

Turk J Math

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There is a rich literature on estimation of second and third Hankel determinants for normalised analytic functions in geometric function theory. It is also, therefore, natural to explore the concept of the Hermitian-Toeplitz determinants for such functions. In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order α , are obtained.

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Section: The Class Of Normalised Analytic Functions Of the Form Fmentioning

confidence: 86%