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...

making use of an extended fractional differintegral operator ( introduced recently by patel and mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

Abstract. In this paper we introduce a new subclass Mp(n, α, c) of analytic and multivalent functions in the unit disk which includes the class Sp(n, α) of multivalent starlike functions of order α and the class Tp(n,α) of multivalent convex functions of order α . Using generalized Bernardi Libera integral operator and Hölder’s inequality, some interesting properties of convolution for the clas...

*Correspondence: [email protected] Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, 16059, Turkey Abstract We introduce a certain subclass of harmonic multivalent functions defined by using a Ruscheweyh derivative operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent fu...

‎Making use of a linear operator‎, ‎which is defined here by means of‎ ‎the Hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {T}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎The main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎We also derive‎ ‎many results for the Hadamard roducts of functions belong...