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Properties of Some Families of Meromorphic Multivalent Functions Associated with Generalized Hypergeometric Functions

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Journal of Mathematical Research with Applications 2018年第1期38卷 43-57页

作者： Mostafa ALBEHBAH maslina darus School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia

We introduce and study two subclasses ?[α1]（A, B, λ） and ?[α1]+（A, B, λ） of meromorphic p-valent functions defined by certain linear operator involving the generalized hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class ?[α1]+（α, β, γ, λ）.

关键词： Generalized hypergeometric function Hadamard product meromorphic functions neighborhoods

The Starlikeness of Analytic Functions of Koebe Type with Complex Order

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Journal of Mathematical Research with Applications 2018年第6期38卷 586-596页

作者： Mohd Nazran Mohammed PAUZI maslina darus Saibah SIREGAR School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia Faculty of Engineering and Life Sciences Universiti Selangor

For α > 0, λ > 0 and β,η∈R, we consider the M（α,λ）of normalized analyticα—λ convex functions defined in the open unit disc U. In this paper we investigate the class M（α, λ,β,η）,with f:= z/（1-z）being Koebe type. By making use of Jack’s Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class M（α, λ, β, η）of n-fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in earlier works are also indicated.

关键词： analytic function subordination superordination Koebe type

G-Function Solutions for Schrodinger Equation in Cylindrical Coordinates System

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Applied Mathematics 2014年第3期5卷 342-346页

作者： Amir Pishkoo maslina darus Nuclear Science Research School NSTRITehranIran School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaSelangorMalaysia

In this paper, the Schr?dinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and darus. Using this method, Meijer’s G-function solutions are derived in cylindrical coordinate system for quantum particle in cylindrical can. All elementary functions and most of the special functions which are the solution of extensive problems in physics and engineering are special cases of Meijer’s G-functions.

关键词： Meijer’s G-Function Partial Differential Equation Modified Separation of Variables Schr?dinger Equation

New Criterion for Starlike Integral Operators

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Analysis in Theory and Applications 2013年第1期29卷 21-26页

作者： Aabed Mohammed maslina darus Daniel Breaz Department of Mathematics Basic Sciences Unit Sana'a Community College School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Faculty of Science Department of Mathematics-Informatics

In this paper, we introduce new sufficient conditions for certain integral operators to be starlike and p-valently starlike in the open unit disk.

关键词： Analytic function univalent function p-valently starlike integral operator.

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Some Properties of the Class of Univalent Functions with Negative Coefficients

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Applied Mathematics 2012年第12期3卷 1851-1856页

作者： Aisha Ahmed Amer maslina darus School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi Malaysia

The main object of this paper is to study some properties of certain subclass of analytic functions with negative coefficients defined by a linear operator in the open unit disc. These properties include the coefficie... 详细信息

关键词： Analytic Function Unit Disc Coefficient Inequality Closure Properties Distortion Bound

Integral Means of Univalent Solution for Fractional Differential Equation

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Applied Mathematics 2012年第6期3卷 590-593页

作者： Rabha W. Ibrahim maslina darus School of Mathematical Sciences Faculty of science and Technology University Kebangsaan Malaysia Bangi Malaysia

By employing the Srivastava-Owa fractional operators, we consider a class of fractional differential equation in the unit disk. The existence of the univalent solution is founded by using the Schauder fixed point theorem while the uniqueness is obtained by using the Banach fixed point theorem. Moreover, the integral mean of these solutions is studied by applying the concept of the subordination.

关键词： Fractional Calculus Subordination Superordination Univalent Solution Fractional Differential Equation Integral Mean