J. Korean Math. Soc. 2020; 57(4): 1031-1052
Online first article March 13, 2020 Printed July 1, 2020
https://doi.org/10.4134/JKMS.j190571
Copyright © The Korean Mathematical Society.
Anuja Prajapati
Sambalpur University
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 $\rho$, entire functi
MSC numbers: Primary 30C45, 30C15; Secondary 33E12
Supported by: This work was supported by INSPIRE fellowship, Department of Science and Technology, New Delhi, Government of India.
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd