Certain Results on p-Valent Analytic Functions Involving a Fractional Operator
نویسندگان
چکیده
Department of Mathematics and Astronomy University of Lucknow, Lucknow 226007, India sharma [email protected] pathakmamta [email protected] Abstract In this paper, a necessary and sufficient condition for a function to be in the class Tμ(α, p,A,B) of p-valent analytic functions involving fractional calculus operator is obtained. Distortion bounds, subordination result, convolution results and results on partial sums for this class are also found. Mathematics Subject Classification: 30C45, 30C50, 30C55
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 کاملCertain Subclass of Analytic and Multivalent Functions Defined by Using a Certain Fractional Derivative Operator
Making use of a certain operator of fractional derivative, a new subclass Fλ(n, p, α, μ) of analytic and p-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, a distortion theorem and radii of p-valently closeto-convexity, starlikeness and convexity are given. Finally several applications involving an integral operator and a c...
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 کاملInequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators
Making use of a certain fractional calculus operator, we introduce two new subclasses Mδ(p;λ, μ, η) and Tδ(p;λ, μ, η) of analytic and p−valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.
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 کامل