Some properties of subclasses of multivalent functions (Q624505)

Summary: The authors introduce two new subclasses denoted by \(\mathcal J^*(\Omega,\lambda,p,\alpha)\) and \(\mathcal J^*_\varepsilon(\Omega,\lambda,p,\alpha)\) of the class \(A(p,n)\) of \(p\)-valent analytic functions. They obtain coefficient inequalities for the class \(\mathcal J^*(\Omega,\lambda,p,\alpha)\). They investigate various properties of the classes \(\mathcal J^*(\Omega,\lambda,p,\alpha)\) and \(\mathcal J^*_\varepsilon(\Omega,\lambda,p,\alpha)\). Furthermore, they derive partial sums associated with the class \(\mathcal J^*_\varepsilon(\Omega,\lambda,p,\alpha)\).