Geometric properties of functions containing derivatives of Bessel function

Gangania, Kamaljeet; Kazımoğlu, Sercan

doi:10.1007/s41478-024-00737-0

J Anal

2024

DOI: 10.1007/s41478-024-00737-0

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Geometric properties of functions containing derivatives of Bessel function

Kamaljeet Gangania,

Sercan Kazımoğlu

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2024

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Radii of γ-Spirallike of q-Special Functions

Kazımoğlu

2024

Mathematics

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The geometric properties of q-Bessel and q-Bessel-Struve functions are examined in this study. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For these normalized functions, the radii of γ-spirallike and convex γ-spirallike of order σ are determined using their Hadamard factorization. These findings extend the known results for Bessel and Struve functions. The characterization of entire functions from the Laguerre-Pólya class plays an important role in our proofs. Additionally, the interlacing property of zeros of q-Bessel and q-Bessel-Struve functions and their derivatives is useful in the proof of our main theorems.

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Radii of γ-Spirallike of q-Special Functions

Kazımoğlu

2024

Mathematics

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Geometric properties of functions containing derivatives of Bessel function

Cited by 1 publication

References 26 publications

Radii of γ-Spirallike of q-Special Functions

Radii of γ-Spirallike of q-Special Functions

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