Some Relations between Certain Classes of Analytic Multivalent Functions Involving Generalized Sălăgean Operator
نویسندگان
چکیده
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 consequences of main results are discussed.
منابع مشابه
Properties of multivalent functions associated with certain integral operator
Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.
متن کاملA Differential Sandwich Theorem for Analytic Functions Defined by the Generalized Sălăgean Operator
We obtain some subordination and superordination results involving the generalized Sălăgean differential operator for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.
متن کاملCertain Classes of Analytic Functions Involving Sălăgean Operator
Using Sălăgean differential operator, we study new subclasses of analytic functions. Coefficient inequalities and distortion theorems and extreme points of these classes are studied. Furthermore, integral means inequalities are obtained for the fractional derivatives of these classes.
متن کاملOn a subclass of multivalent analytic functions associated with an extended fractional differintegral operator
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.
متن کاملSome properties of extended multiplier transformations to the classes of meromorphic multivalent functions
In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.
متن کامل