A Certain Subclass of Multivalent Analytic Functions with Negative Coefficients for Operator on Hilbert Space

Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 2, Issue 2

Abstract

In the present work, we introduce and study a certain subclass for multivalent analytic functions with negative coefficients defined on complex Hilbert space. We establish a number of geometric properties, like, coefficient estimates, convex set, extreme points and radii of starlikeness and convexity.

Authors and Affiliations

Asraa Abdul Jaleel Husien

Keywords

Related Articles

A Certain Subclass of Analytic and Univalent Functions Defined by Hadamard Product

In this paper, we present a new subclass AD(l, g, a, b) of analytic univalent functions in the open unit disk U. We establish some interesting properties like, coefficient estimates, closure theorems, extreme points, gro...

On the Convergence Region of Multi-step Chebyshev-Halley-type Schemes for Solving Equations

The aim of this article is to extend the convergence region of certain multi-step Chebyshev-Halley-type schemes for solving Banach space valued nonlinear equations. In particular, we find an at least as small region as t...

On the Effect of Inflation and Impact of Hedging on Pension Wealth Generation Strategies under the Geometric Brownian Motion Mode

This work investigates the effect of Inflation and the impact of hedging on the optimal investment strategies for a prospective investor in a DC pension scheme, using inflation-indexed bond and inflation-linked stock. Th...

Strong Insertion of a Contra-$alpha$-continuous Function between Two Comparable Real-valued Functions

Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a contra-a-continuous function between two comparable real-valued functions.

On the Solution of Fractional Option Pricing Model by Convolution Theorem

The classical Black-Scholes equation driven by Brownian motion has no memory, therefore it is proper to replace the Brownian motion with fractional Brownian motion (FBM) which has long-memory due to the presence of the H...

Download PDF file
  • EP ID EP608546
  • DOI 10.34198/ejms.2219.355364
  • Views 156
  • Downloads 0

How To Cite

Asraa Abdul Jaleel Husien (2019). A Certain Subclass of Multivalent Analytic Functions with Negative Coefficients for Operator on Hilbert Space. Earthline Journal of Mathematical Sciences, 2(2), 355-364. https://europub.co.uk./articles/-A-608546