Geometric Properties of Normalized Mittag–Leffler Functions
Copyright policy )Geometric Properties of Normalized Mittag–Leffler Functions
The aim of this paper is to investigate certain properties such as convexity of order μ , close-to-convexity of order 1 + μ /2 and starlikeness of normalized Mittag–Leffler function. We use some inequalities to prove our results. We also discuss the close-to-convexity of Mittag–Leffler functions with respect to certain starlike functions. Furthermore, we find the conditions for the above-mentioned function to belong to the Hardy space H p . Some of our results improve the results in the literature.
- Abdul Wali Khan University Mardan Pakistan
- Yangzhou University China (People's Republic of)
- Government College University, Faisalabad Pakistan
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), starlike functions, convex functions, analytic functions, Mittag–Leffler functions, Hardy space, Mittag-Leffler functions and generalizations, Mittag-Leffler functions
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), starlike functions, convex functions, analytic functions, Mittag–Leffler functions, Hardy space, Mittag-Leffler functions and generalizations, Mittag-Leffler functions
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