Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663733 | Acta Mathematica Scientia | 2014 | 13 Pages |
Abstract
In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bκcf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z(Bκ+1cf(z))′ = κBκcf(z) - (κ - 1) Bκ+1cf(z)where b,c,p ℂ and κ = p + (b+1)/2 ∈ C\(Z0- = {0, -1, -2,⋯}). The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Huo TANG, Erhan DENIZ,