ON A CERTAIN CLASS OF p−VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
نویسنده
چکیده
In this paper, we introduce the class Ao (p,A,B, α ) of p-valent functions in the unit disc U = { z : | z | < 1 }. We obtain coefficient estimate, distortion and closure theorems, radii of close-to convexity, starlikeness and convexity of order δ ( 0 6 δ < 1 ) for this class. We also obtain class preserving integral operators for this class. Furthermore, various distortion inequalities for fractional calculus of functions in this class are also given.
منابع مشابه
On Certain Subclass of Meromorphic p-valent Functions with Negative Coefficients
We introduce a class Σ∗λ,p,α of meromorphic p-valent functions with negative coefficients. The main object of this paper is to investigate various important properties and characteristics of this class. Further many interesting results for the Hadamard product of functions belonging to the class Σ∗λ,p,α is obtained. 2000 Mathematics Subject Classification: 30C45.
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 کاملApplications of convolution and subordination to certain $p$-valent functions
In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.
متن کاملOn 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 کاملA New Class of Analytic p-Valent Functions with Negative Coefficients and Fractional Calculus Operators
In this paper we define a new class of functions which are analytic and p-valent with negative coefficients, by using fractional differ-integral operators studied recently by authors. Characterization, distortion theorems and other interesting properties of this class of functions are studied. Some special cases of main results are also pointed out.
متن کامل