Geometric properties of the meromorphic functions class through special functions associated with a linear operator

Firas Ghanim Ahmed; Hiba Fawzi Al-Janaby

doi:10.1186/s13662-022-03691-y

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Publication Date

Sat Feb 19 2022

Journal Name

Advances In Continuous And Discrete Models

Volume

2022

Issue Number

17

DOI

10.1186/s13662-022-03691-y

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Geometric properties of the meromorphic functions class through special functions associated with a linear operator

Meromorphic function

Convolution product

Hurwitz–Lerch zeta function

Differential first-order subordination

Firas Ghanim Ahmed

Hiba Fawzi Al-Janaby

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Abstract<p>According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research. In this effort, an attempt is made by utilizing the said techniques to study a new linear complex operator connecting an incomplete beta function and a Hurwitz–Lerch zeta function of certain meromorphic functions. Furthermore, we employ a method based on the first-order differential subordination to derive new and better differential complex inequalities, namely differential subordinations.</p>

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Publication Date

Sun Jan 01 2023

Journal Name

Journal Of Interdisciplinary Mathematics

Certain subclass of meromorphic univalent positive coefficients defined by q-difference operator

Kassim A.

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This paper introduces a Certain Subclass of Meromorphic Univalent Positives Coefficients Defined by the q-Difference Operator. Coefficient estimates are investigated and obtained, and the upped bound is calculated.

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(1)

Publication Date

Sun Sep 07 2014

Journal Name

Baghdad Science Journal

Exponential Function of a bounded Linear Operator on a Hilbert Space.

Self-adjoint operator

positive operator

normal operator

quasinormal operator

binormal operator hyponormal operator and compact operator.

Radhi I.

Fatin A.

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In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the operator T.

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Publication Date

Wed Mar 10 2021

Journal Name

Baghdad Science Journal

Solving B- spline functions

Omar M.

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In this paper, we proposed to zoom Volterra equations system Altfazlah linear complementarity of the first type in this approximation were first forming functions notch Baschtdam matrix and then we discussed the approach and stability, to notch functions

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Publication Date

Fri Jan 01 2010

Journal Name

Journal Of Collage Of Education

Some Generalizations of Continuity Functions

w-weakly continuous functions

w-closure continuous functions

w-strongly continuous functions.

Yousif Y.

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In this paper we define and study new generalizations of continuous functions namely, -weakly (resp., w-closure, w-strongly) continuous and the main properties are studies: (a) If f : X®Y is w-weakly (resp., w-closure, w-strongly) continuous, then for any AÌX and any BÌY the restrictions fïA : A®Y and fB : f -1(B)®B are w-weakly (resp., w-closure, w-strongly) continuous. (b) Comparison between deferent forms of generalizations of continuous functions. (c) Relationship between compositions of deferent forms of generalizations of continuous functions. Moreover, we expanded the above generalizations and namely almost w-weakly (resp., w-closure, w-strongly) continuous functions and we state and prove several results concerning it.

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Publication Date

Tue Jan 01 2019

Journal Name

Sci.int.(lahore)

FILTER BASES AND SUPRA PERFECT FUNCTIONS

Filter base

Directed toward a set

Closure converges

Closure directed toward

Supra closure converge

Almost supra converges

Almost supra cluster

Supra compact function

Supra rigid subset

Supra perfect function

Y. Y.

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We introduce some new generalizations of some definitions which are, supra closure converge to a point, supra closure directed toward a set, almost supra converges to a set, almost supra cluster point, a set supra H-closed relative, supra closure continuous functions, supra weakly continuous functions, supra compact functions, supra rigid a set, almost supra closed functions and supra perfect functions. And we state and prove several results concerning it

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Publication Date

Sun Mar 02 2014

Journal Name

Baghdad Science Journal

An Approximated Solutions for nth Order Linear Delay Integro-Differential Equations of Convolution Type Using B-Spline Functions and Weddle Method

nth Order Linear Delay Integro-Differential Equation of Convolution type

Collocation method

B-spline Functions and Weddle method.

Raghad K.

Isra'a H.

Atheer J.

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The paper is devoted to solve nth order linear delay integro-differential equations of convolution type (DIDE's-CT) using collocation method with the aid of B-spline functions. A new algorithm with the aid of Matlab language is derived to treat numerically three types (retarded, neutral and mixed) of nth order linear DIDE's-CT using B-spline functions and Weddle rule for calculating the required integrals for these equations. Comparison between approximated and exact results has been given in test examples with suitable graphing for every example for solving three types of linear DIDE's-CT of different orders for conciliated the accuracy of the results of the proposed method.

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Publication Date

Fri Mar 01 2013

Journal Name

Experimental Parasitology

An Acanthamoeba castellanii metacaspase associates with the contractile vacuole and functions in osmoregulation

Entsar J. Saheb

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Publication Date

Fri May 01 2020

Journal Name

Journal Of Physics: Conference Series

A CERTAIN SUBCLASS OF MULTIVALENT HARMONIC FUNCTIONS DEFINED BY RUSCHEWEYH DERIVATIVES

Zainab H.

Kassim A.

Buthyna N.

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Abstract<p>We introduce a new class of harmonici multivalent functions define by generalized Rucheweyh derivative operator. We also obtain several interesting propertiesi such as sharp coefficienit estimates, distortioni bound, extreme points, Hadamardi product and other several results. Derivative; extreme points.</p>

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(2)

Publication Date

Sun Oct 01 2017

Journal Name

Journal Of Computational And Theoretical Nanoscience

Parametric Nonlinear Programming Approach with Fuzzy Queues Using Hexagonal Membership Functions

Zeina

Razamin

N.

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(6)

(7)

Publication Date

Mon Mar 08 2021

Journal Name

Baghdad Science Journal

on periodic point and chaotic functions

Saleen Hasan

Kaula Ali

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We dealt with the nature of the points under the influence of periodic function chaotic functions associated functions chaotic and sufficient conditions to be a very chaotic functions Palace

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