SOME PROPERTIES OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY MITTAG- LEFFLER FUNCTION
By
Pasunoori Srinivasulu
Department of Mathematics, Rajeev Gandhi University of Knowledge Technologies,
IIIT, Basar, Nirmal-504 107. T.S., India.
Email:srinivaspasupuleti12@gmail.com
(Received: March 03, 2021; Revised in format : March 28, 2021; In final form: October 29, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51209
Abstract
In this work, we introduce and study a new subclass of analytic functions defined by a differential operator and obtained coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are obtained. Furthermore, we obtained integral means inequalities for the function. 2020 Mathematical Sciences Classification: 30C45. Keywords and Phrases: analytic, coefficient bounds, starlike, distortion.
2020 Mathematical Sciences Classification: 34N05, 35A22, 46F12, 44A35.
Keywords and Phrases: Time scales, Sumudu transform, Quantum Calculus, Convolution.