Class of multivalent analytic functions defined by a linear operator
Summary: Making use of the linear operator \(J^m_p(\lambda, l)\) defined in [\textit{J. K. Prajapat}, Math. Comput. Modelling 55, No. 3--4, 1456--1465 (2012; Zbl 1255.30024)], we introduce the class \(\mathbb B^m_p(\lambda, l, \mu, \alpha)\) of analytic and \(p\)-valent functions in the open unit disk \(\mathcal U\). Furthermore, we obtain some sufficient conditions for starlikeness and close-to-convexity and some angular properties for functions belonging to this class. Several corollaries and consequences of the main results are also considered.
scientific article; zbMATH DE number 6191249