Sufficient conditions for starlikeness related to a hyperbolic cosine function

UDC 517.5 We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations.

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Publication Details

Journal
Ukrains’kyi Matematychnyi Zhurnal
Published
2025-03-30
DOI
https://doi.org/10.3842/umzh.v77i2.8382
Primary Topic
Analytic and geometric function theory
Type
article
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article

Sufficient conditions for starlikeness related to a hyperbolic cosine function

Mridula Mundalia, S. Sivaprasad Kumar
Ukrains’kyi Matematychnyi Zhurnal
Analytic and geometric function theory
article

Sufficient conditions for starlikeness related to a hyperbolic cosine function

Mridula Mundalia, S. Sivaprasad Kumar
article en

Abstract

UDC 517.5 We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations.

Ukrains’kyi Matematychnyi ZhurnalVol. 77(2)
Delhi Technological University (IN)
Openalex Percentile: Top 89%
Analytic and geometric function theory
DOIOpen Access PDFOpenAlex
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Sufficient conditions for starlikeness related to a hyperbolic cosine function — Mridula Mundalia, S. Sivaprasad Kumar · Ukrains’kyi Matematychnyi Zhurnal (2025) | TGRS Research Map | TGRS