Sufficient conditions and radius problems for the Silverman class

Abstract

UDC 517.5 For 0 < α ≤ 1 and λ > 0 , let The general form of the Silverman class introduced by Tuneski and Irmak [Int. J. Math. and Math. Sci., {\bf 2006}, Article~ID 38089 (2006)]. Our differential inequality formulation lays out several sufficient conditions for this class. Further, we consider a class Ω given by For these two classes, we establish inclusion relations involving some well-known subclasses of 𝒮 * and compute radius estimates featuring various pairings of these classes.