On Harmonic Functions Constructed by the Hadamard Product
نویسندگان
چکیده
A function f = u + iv defined in the domain D ⊂ C is harmonic in D if u, v are real harmonic. Such functions can be represented as f = h+ ḡ where h, g are analytic in D. In this paper the class of harmonic functions constructed by the Hadamard product in the unit disk, and properties of some of its subclasses are examined.
منابع مشابه
On 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 کاملHermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
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 کاملSome properties for a class of meromorphically multivalent functions with linear operator
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we define a subclass $mathcal {T}_{p}(a, c, gamma, lambda; h)$ of meromorphically multivalent functions. The main object of this paper is to investigate some important properties for the class. We also derive many results for the Hadamard roducts of functions belong...
متن کاملOn Hadamard and Fej'{e}r-Hadamard inequalities for Caputo $small{k}$-fractional derivatives
In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.
متن کامل