Geometric Properties of Functions Containing Derivatives of Bessel Functions

2022/11/23 by Sercan Kazımoğlu, Kazımoğlu, Sercan, Kamaljeet Gangania +1
Mathematics · #30C45 and 30C80 and 30C15 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2211.12697

openalex publication_date 2022/11/23 · openalex created_date 2022/11/30 · openalex updated_date 2026/07/28

Abstract

In this paper our aim is to find the radii of γ-Spirallike of order α and convex γ-Spirallike of order α for three different kinds of normalizations of the function N_ν(z)=az²J_ν^′′(z)+bzJ_ν^′(z)+cJ_ν(z), where J_ν(z) is the Bessel function of the first kind of order ν. Moreover, the S^*(φ)-radii and C(φ)-radii of these normalized functions are investigated. The tables are created and visual verification with graphs are made by giving special values to the real numbers a, b and c in the obtained results.

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