Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q-Sălăgean Operator

Using the generalized q-Sălăgean operator, we introduce a new class of meromorphic functions in a punctured unit disk U∗ and investigate a majorization problem associated with this class. The principal tool employed in this analysis is the recently established q-Schwarz–Pick lemma. We investigate a majorization problem for meromorphic functions when the functions of the right hand side of the majorization belongs to this class. The main tool for this investigation is the generalization of Nehari’s lemma for the Jackson’s q-difference operator ∂q given recently by Adegani et al.