On a Subfamily of q -Starlike Functions with Respect to m -Symmetric Points Associated with the q -Janowski Function.

The main objective of this paper is to study a new family of analytic functions that are q-starlike with respect to m-symmetrical points and subordinate to the q-Janowski function. We investigate inclusion results, sufficient conditions, coefficients estimates, bounds for Fekete–Szego functional | a 3 − μ a 2 2 | and convolution properties for the functions belonging to this new class. Several consequences of main results are also obtained. [ABSTRACT FROM AUTHOR]