Inequalities on a class of analytic functions defined by generalized Mittag-Leffler function

Murat Caglara, K R Karthikeyan, G Murugusundaramoorthy

By making use of the generalized difference operator, we have defined a new class of λ-pseudo Pascu type functions of complex order using subordination. Interesting results such as subordination results, inequalities for the initial Taylor-Maclaurin coefficients and unified solution of Fekete-Szegő problem have been obtained. Also, the study has been extended to quantum calculus by replacing the ordinary derivative with a q-derivative in the defined function class. Several applications, known or new of the main results are also presented.