An Application of Hypergeometric Functions on Harmonic Univalent Functions (dedicated in Occasion of the 70-years of Professor
نویسندگان
چکیده
The purpose of the present paper is to establish connections between various subclasses of harmonic functions by applying certain convolution operator involving hypergeometric functions. To be more precise, we investigate such connections with Goodman-Rønning-type harmonic univalent functions in the open unit disc U .
منابع مشابه
A Subclass of Analytic Functions Associated with Hypergeometric Functions
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.
متن کاملOn Integral Operator and Argument Estimation of a Novel Subclass of Harmonic Univalent Functions
Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...
متن کاملStability for certain subclasses of harmonic univalent functions
In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.
متن کاملA certain convolution approach for subclasses of univalent harmonic functions
In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.
متن کاملOn Certain Subclass of Meromorphic Harmonic Functions with Fixed Residue (dedicated in Occasion of the 70-years of Professor
In this paper, we consider some properties such as growth and distortion theorem, coefficient problems, linear combinations for certain subclass of meromorphic harmonic functions with positive coefficients.
متن کامل