Some Characterizations on the Normalized Lommel, Struve and Bessel Functions of the First Kind

2017/12/03 by R. M. El-Ashwah, El-Ashwah, Rabha M., Alaa H. El-Qadeem +1
Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1712.01689

openalex publication_date 2017/12/03 · openalex created_date 2017/12/22 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce new technique for determining some necessary and sufficient conditions of the normalized Bessel functions j_ν, normalized Struve functions h_ν and normalized Lommel functions s_μ,ν of the first kind, to be in the subclasses of starlike and convex functions of order α and type β.

Citations

• On the Theory of Univalent Functions

Related

• On the subclasses associated with the Bessel-Struve kernel functions
• Certain Geometric Properties of Some Bessel Functions
• Geometric Properties of Bessel function derivatives
• Geometric Properties of Generalized Bessel Function associated with the Exponential Function
• Lemniscate Convexity and Other Properties of Generalized Bessel\n Functions