Abstract:
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 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 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.
Machine summary:
o. box 19395-3697, Tehran, Iran ARTICLE INFO Article history: Received 09 December 2019 Accepted 05 January 2020 Keywords: Harmonic function, Integral operator, Extreme point, Distortion bounds, Convolution ABSTRACT Financial Mathematics is the application of mathematical methods to finance- ial problems.
Yalçin [17] defined and investigated a new class of Salagean- type harmonic univalent functions and obtained coefficient conditions, extreme points, distortion * Corresponding author.
CHO and SRIVASTAVA [27] presented a method to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which were defined by means of a class of multiplier transformations.
According to the above mentioned concepts, the main objective of this paper is to provide a more precise definition of these concepts in finance applications and define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions and investigate some properties of this subclass.
2 Preliminaries Here, we tend to investigate some important concepts of Harmonic Functions that are useful in theory of mathematical finance [31] In order to put forward our methodology, we start with introducing the following important concepts that are used throughout the paper.
In the present section, we investigate to obtain coefficient bounds for functions in the subclasses Hλ,k(α,β,t) and �Iλ,k(α,β,t) and their possible roles in mathematical finance.
□ Our motivation came from mathematical finance, more precisely from establishing a subclass of harmonic univalent functions that have important role in finance.
, A new class of Salagean-type harmonic univalent functions, Applied Mathematics Letters, 2005, 18, P.