Coefficient Inequalities for a Unified Class of Bounded Turning Functions associated with Cosine Hyperbolic Function

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

2024, v.31 no.2, pp.201-216

https://doi.org/10.7468/jksmeb.2024.31.2.201

Gagandeep Singh (Khalsa College)
Gurcharanjit Singh (G.N.D.U. College)
Navyodh Singh (Khalsa College)
Navjeet Singh (Khalsa College)

Gagandeep, S. , Gurcharanjit, S. , Navyodh, S. , & Navjeet, S. (2024). . 한국수학교육학회지시리즈B:순수및응용수학, 31(2), 201-216, https://doi.org/10.7468/jksmeb.2024.31.2.201

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Abstract

The aim of this paper is to study a new and unified class R {{alpha}} atop {{Cosh}} of analytic functions associated with cosine hyperbolic function in the open unit disc E = {z ∈ ℂ : |z| < 1}. Some interesting properties of this class such as initial coefficient bounds, Fekete-Szegö inequality, second Hankel determinant, Zalcman inequality and third Hankel determinant have been established. Furthermore, these results have also been studied for two-fold and three-fold symmetric functions.

keywords: analytic functions, subordination, coefficient bounds, Fekete-Szegö inequality, Zalcman inequality, cosine hyperbolic function, Hankel determinant.

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Vol.31 No.2

Coefficient Inequalities for a Unified Class of Bounded Turning Functions associated with Cosine Hyperbolic Function

Abstract

한국수학교육학회지시리즈B:순수및응용수학