- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Radii problems for the generalized Mittag-Leffler functions J. Korean Math. Soc.Published online March 13, 2020 ANUJA PRAJAPATI Sambalpur University Abstract : In this paper our aim is to find various radii problems of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic. The basic tool of this study is the Mittag-Leffler function in series. Also we have shown that the obtained radii are the smallest positive roots of some functional equations. Keywords : Generalized Mittag-Leffler functions; radius of $\eta$uniformly convexity of order $\rho$; radius of $\alpha$convexity of order $\rho$; radius of $\eta$parabolic starlikeness of order $\rho$; radius of strong starlikeness of order $\rho$ MSC numbers : 30C45, 30C15 ; 33E12. Full-Text :