Bohr Radius Problems for Some Classes of Analytic Functions Using Quantum Calculus Approach

Abstract

The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q-starlike (q-convex) functions of order α . The Bohr radius is also determined for a generalized class of q-Janowski starlike and q-Janowski convex functions with negative coefficients.

Solvability of a New q-Differential Equation Related to q-Differential Inequality of a Special Type of Analytic Functions

“…is the class of Caratheodory analytic functions of order [33] or Jahangiri et al [34]). The classes of q-Janowski starlike and q-Janowski convex functions and other formulas are investigated by many researchers Ahuja et al [35], Ibrahim et al [36], Srivastava et al [37], Srivastava and Deeb [38], and Srivastava [39].…”