The multivalency approach to generalized Nevanlinna functions established in Wietsma (Indag Math 29:997–1008, 2018) is here extended the related class of Schur giving thereby rise new characterizations for this as well a straightforward function-theoretical proof its factorization. In particular, explains how well-known factorizations two mentioned classes differ from each other. Indeed, by fac...

Abstract: The aim of this paper is to introduce and study two subclasses of multivalent functions involving generalized Sălăgean operator. Our classes M m,σ p,n (γ;η) and N m,σ p,n (α ,β ;η) unify the standard classes of multivalent starlike functions of order η , multivalent convex functions of order η , and Bazilević functions. Some connections between our classes are obtained and several con...