Convexity of certain \(q\)-integral operators of \(p\)-valent functions (Q1725286)

Summary: By applying the concept (and theory) of fractional \(q\)-calculus, we first define and introduce two new \(q\)-integral operators for certain analytic functions defined in the unit disc \(\mathcal{U}\). Convexity properties of these \(q\)-integral operators on some classes of analytic functions defined by a linear multiplier fractional \(q\)-differintegral operator are studied. Special cases of the main results are also mentioned.