Inclusion relation between subclasses of harmonic functions associated with Mittag-Leffler functions

K. Vijaya; H. Dutta; G. Murugusundaramoorthy

K. Vijaya School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) Vellore - 632014, India
H. Dutta Gauhati University, Guwahati-781014, Assam, India.
G. Murugusundaramoorthy School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University) Vellore - 632014, India

Abstract

In this paper, we investigate an association between certain subclasses of harmonic univalent functions by applying certain convolution operator concerning generalized Mittag-Leffler functions. To be more precise, we discuss such connections with Goodman-R{\o}nning type harmonic univalent functions in the open unit disc D.