Coefficient Bounds of Kamali-Type Starlike Functions Related with a Limacon-Shaped Domain

Murugusundaramoorthy, G.; Shakeel, Ayesha; Kutbi, Marwan Amin

doi:10.1155/2021/4395574

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…For instance, the coefficient inequalities of the function associated with petal type domains were considered by Malik et al [29]. Yunus et al [22] (see also [30,31]) introduced a region bounded by a bean-shaped limacon domain as follows:…”

Section: Introductionmentioning

confidence: 99%

Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain

Breaz,

Panigrahi,

El-Deeb

et al. 2024

Symmetry

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In the current exploration, we defined new subclasses of analytic functions, namely Rlim(l,ν) and Clim(l,ν), defined by subordination linked with a Limacon-shaped domain. We found a few initial coefficient bounds and Fekete–Szegő inequalities for the functions in the above-stated new classes. The corresponding results have been derived for the function h−1. Additionally, we discuss the Poisson distribution as an application of our consequences.

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Section: Introductionmentioning

confidence: 99%

Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain

Breaz,

Panigrahi,

El-Deeb

et al. 2024

Symmetry

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“…This concept was then applied to find the radius of limaçon starlikeness for S * ðαÞ. For more findings associated with L s ðzÞ, we refer to [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class

Saliu

Jabeen²,

Al-Shbeil

et al. 2022

Journal of Function Spaces

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In this study we investigate the sharp radius of starlikeness of subclasses of Ma and Minda class for the ratio of analytic functions which are related to limaçon functions. This survey is connected also to the first-order differential subordinations. In this context, we get the condition on β for which certain differential subordinations associated with limaçon functions imply Ma and Minda starlike functions. Simple corollaries are provided for certain examples of our results. Finally, we present several geometries related to our study.

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On a Subclass of Analytic Functions That Are Starlike with Respect to a Boundary Point Involving Exponential Function

Lecko

Murugusundaramoorthy

Sivasubramanian³

2022

Journal of Function Spaces

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In the present exploration, the authors define and inspect a new class of functions that are regular in the unit disc D ≔ ς ∈ ℂ : ς < 1 , by using an adapted version of the interesting analytic formula offered by Robertson (unexploited) for starlike functions with respect to a boundary point by subordinating to an exponential function. Examples of some new subclasses are presented. Initial coefficient estimates are specified, and the familiar Fekete-Szegö inequality is obtained. Differential subordinations concerning these newly demarcated subclasses are also established.

show abstract

Coefficient Bounds of Kamali-Type Starlike Functions Related with a Limacon-Shaped Domain

Cited by 4 publications

References 22 publications

Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain

Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain

Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class

On a Subclass of Analytic Functions That Are Starlike with Respect to a Boundary Point Involving Exponential Function

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