Amina Awad - Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Fawzan Sidky - Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Doaa Mohamed - Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

By making use of the Tremblay operator, we introduce new subclasses of analytic functions, for which we obtain some sufficient coefficients estimates, and the consequences are some subordination properties and partial sums inequalities.

Analytic function, starlike function, convex function, subordination, factor sequence