Filomat 2018 Volume 32, Issue 18, Pages: 6475-6486
https://doi.org/10.2298/FIL1818475P
Full text ( 420 KB)
Cited by
Radius of starlikeness and hardy space of Mittag-Leffler functions
Prajapat Jugal K.
Maharana Sudhananda
Bansal Deepak
In the present work, Mittag-Leffler functions with its normalization are
considered. Several results are obtained so that these functions have
certain geometric properties including starlikeness, convexity,
close-to-convexity of order α, and radius of starlikeness of order α.
Furthermore, we obtain certain condition so that the normalized Mittag-Leffler
functions belongs to the Hardy space and to the class of bounded analytic
functions. Results obtained are new and their usefulness are depicted by
deducing several interesting corollaries and examples.
Keywords: Mittag-Leffler functions, Zeros, Analytic functions, Bounded analytic functions, Starlike and convex functions of order α, Radius of starlikeness, Hardy spaces