HARDY SPACE OF LOMMEL FUNCTIONS

Title & Authors
HARDY SPACE OF LOMMEL FUNCTIONS
Yagmur, Nihat;

Abstract
In this work we present some geometric properties (like star-likeness and convexity of order $\small{{\alpha}}$ and also close-to-convexity of order ($\small{1+{\alpha}}$)/2) for normalized of Lommel functions of the first kind. In order to prove our main results, we use the technique of differential subordinations and some inequalities. Furthermore, we present some applications of convexity involving Lommel functions associated with the Hardy space of analytic functions, i.e., we obtain conditions for the function $\small{h_{{\mu},{\upsilon}}(z)}$ to belong to the Hardy space $\small{H^p}$.
Keywords
analytic function;Lommel functions;Hardy space;
Language
English
Cited by
1.
Certain Geometric Properties of Normalized Wright Functions, Journal of Function Spaces, 2016, 2016, 1
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