Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative
Kadhavoor R. Karthikeyan,
Daniel Breaz,
Gangadharan Murugusundaramoorthy,
Ganapathi Thirupathi
Affiliations
Kadhavoor R. Karthikeyan
Department of Applied Mathematics and Science, College of Engineering, National University of Science & Technology, CPO Seeb 111, Al Hail, Muscat P.O. Box 2322, Oman
Daniel Breaz
Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania
Gangadharan Murugusundaramoorthy
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
Ganapathi Thirupathi
Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Srivilliputhur Main Road, Sivakasi 626124, Tamil Nadu, India
Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function. Estimates for the initial coefficients and Fekete–Szegő inequalities of the defined function classes are determined. Moreover, special cases of the classes have been discussed and stated as corollaries, which have not been discussed previously.
