$${\mathcal {S}}^{*}(\phi )$$ and $${\mathcal {C}}(\phi )$$-Radii for Some Special Functions

Kumar, S. Sivaprasad; Gangania, Kamaljeet

doi:10.1007/s40995-022-01313-6

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2022

2024

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Cited by 6 publications

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“…A unified treatment of the radius of Ma-Minda classes [14] and more for some special functions was studied in [13,15,16]. However, to the best of our knowledge, the U CSP (γ)-radius has not been studied to date for the above-mentioned special functions.…”

Section: Introductionmentioning

confidence: 99%

Radius of Uniformly Convex γ-Spirallikeness of Combination of Derivatives of Bessel Functions

Kanas

Gangania

2023

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We find the sharp radius of uniformly convex γ-spirallikeness for Nν(z)=az2Jν″(z)+bzJν′(z)+cJν(z) (here Jν(z) is the Bessel function of the first kind of order ν) with three different kinds of normalizations of the function Nν(z). As an application, we derive sufficient conditions on the parameters for the functions to be uniformly convex γ-spirallikeness and, consequently, generate examples of uniform convex γ-spirallike via Nν(z). Results are well-supported by the relevant graphs and tables.

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Section: Introductionmentioning

confidence: 99%