Results regarding the argument of certain p-valent analytic functions defined by a generalized integral operator
نویسنده
چکیده
The operator Jm p (λ, )f (z) was studied by Srivastava et al. [3] and Aouf et al. [4]. From (1.2) and (1.3), we observe that J−m p (λ, )f (z) = Im p (λ, )f (z)(m > 0), so the operator Jm p (λ, )f (z) is well-defined for l ≥ 0, l ≥ 0, p Î N and m Î Z = {..., -2, -1,0,1,2,...}. El-Ashwah Journal of Inequalities and Applications 2012, 2012:35 http://www.journalofinequalitiesandapplications.com/content/2012/1/35
منابع مشابه
On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator
In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of harmonic $p-$valent functions defined by certain modified operator. Some of our results improve and generalize previously known results.
متن کاملProperties 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 کاملCertain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...
متن کاملNeighborhood Properties of Multivalent Functions Defined Using an Integral Operator
In this paper, we introduce the generalized integral operator Jp(σ, λ) and using this generalized integral operator, the new subclasses H n,m(b, σ, λ), Ln,m(b, σ, λ;μ), H n,m(b, σ, λ) and L n,m(b, σ, λ;μ) of the class of multivalent functions denoted by Tp(n) are defined. Further for functions belonging to these classes, certain properties of neighborhoods of functions of complex order are stud...
متن کاملA. Muhammad CLASSES OF MULTIVALENT FUNCTIONS INVOLVING THE LIU–OWA OPERATOR
Using the Liu–Owa operator we introduce a new class of multivalent analytic functions defined in the unit disc E. We investigate an inclusion relationship and radius problem for the class of functions of p-valent bounded radius rotations which are defined here by means of a certain integral operator Qβ,p.
متن کامل