An application of generalized Bessel functions on subclasses of uniformly spirallike functions

2019/06/19 by Basem Aref Frasin, Frasin, B. A., Ibtisam Aldawish +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1906.08319

openalex publication_date 2019/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind zu_p(z) to be in the classes SP_p(α,β) and UCSP(α,β) of uniformly spirallike functions and also give necessary and sufficient conditions for z(2-u_p(z)) to be in the above classes. Furthermore, we give necessary and sufficient conditions for I(κ,c)f to be in UCSPT(α,β) provided that the function f is in the class R^τ(A,B). Finally, we give conditions for the integral operator G(κ,c,z)=% ∫₀^z(2-u_p(t))dt to be in the class UCSPT(α,β). Several corollaries and consequences of the main results are also considered.

Citations

• On uniformly starlike functions

Related

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• Geometric Properties of Generalized Bessel Function associated with the Exponential Function
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