Some classes of analytic and multivalent functions associated with q-derivative operators

Abstract

By applying the q-derivative operator of order m (m ∈ ℕ0), we introduce two new subclasses of p-valently analytic functions of complex order. For these classes of functions, we obtain the coefficient inequalities and distortion properties. Some consequences of the main results are also considered

Keywords

• analytic functions
• multivalent functions
• q-derivative operator
• coefficient inequalities
• distortion theorems