Relations between the generalized Bessel functions and the Janowski class

2016/07/07 by Kanas, S., Mondal, S. R., Mohammed, A. D. · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.02100

Abstract

We are interested in finding the sufficient conditions on A, B, λ, b and c which ensure that the generalized Bessel functions u_λ:=u_λ,b,c satisfies the subordination u_λ(z) \prec (1+Az)/ (1+Bz). Also, conditions for which u_λ(z) to be Janowski convex, and zu'_λ(z) to be Janowski starlike in the unit disk \mathbbD=\z ∈ ℂ: |z|<1\ are obtained.

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• On Lemniscate starlikeness of analytic functions and its application to special functions

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