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Aouf, Zineb,Mansouri, Rachida,Lakrout, Salah,Berredjem, Malika,Aouf, Nour-Eddine Korean Chemical Society 2017 대한화학회지 Vol.61 No.4
A simple, green and chemo-selective method for the N-benzyloxycarbonylation of amines, ${\beta}$-amino alcohols, ${\alpha}$-amino esters and sulfonamides has been developed under microwave irradiation. Good to excellent yields of the N-benzyloxycarbamates compounds were obtained in short times without any side products.
THE QUASI-HADAMARD PRODUCTS OF CERTAIN p-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
Aouf, Mohamed Kamal Korean Mathematical Society 2007 대한수학회보 Vol.44 No.4
The object of the present paper is to show quasi-Hadamard products of certain p-valent functions with negative coefficients in the open unit disc. Our results are the generalizations of the corresponding results due to Yaguchi et al. [10], Aouf and Darwish [3], Lee et al. [5] and Sekine and Owa [9].
Zineb Aouf,Rachida Mansouri,Malika Berredjem,Nour-Eddine Aouf 대한화학회 2017 대한화학회지 Vol.61 No.4
A simple, green and chemo-selective method for the N-benzyloxycarbonylation of amines, β-amino alcohols, α- amino esters and sulfonamides has been developed under microwave irradiation. Good to excellent yields of the N-benzyloxycarbamates compounds were obtained in short times without any side products.
ON SUBCLASSES OF P-VALENT FUNCTIONS STARLIKE IN THE UNIT DISC
Aouf, M.K. Department of Mathematics 1988 Kyungpook mathematical journal Vol.28 No.2
For a positive integer p, $A_p$ will denote the class of functions $f(z)=z^p+\sum\limits^{\infty}_{n=p+1}a_nz^n$ which are analytic in the unit disc U = {z: |z| <1}. For $0{\leq}{\alpha}{\leq}1$, 0<${\beta}{\leq}1$, $0{\leq}{\lambda}$ <p, let $S_p({\alpha},{\beta},{\lambda})$ denote the class of functions $f(z){\in}A_p$ which satisfy the condition $\left|\frac{{\frac{zf^{\prime}(z)}{f(z)}}-p}{{{\alpha}{\frac{zf^{\prime}(z)}{f(z)}}+p-{\lambda}(1+{\alpha})}}\right|$<${\beta}$ for $z{\in}U$ In this paper we obtain a representation theorem for the class $S_p({\alpha},{\beta},{\lambda})$ and also derive distortion theorem and sharp estimates for the coefficients of this class.
On the Fekete-Szegö Problem for a Certain Class of Meromorphic Functions Using q-Derivative Operator
Aouf, Mohamed Kamal,Orhan, Halit Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.2
In this paper, we obtain $Fekete-Szeg{\ddot{o}}$ inequalities for certain class of meromorphic functions f(z) for which $-{\frac{(1-{\frac{{\alpha}}{q}})qzD_qf(z)+{\alpha}qzD_q[zD_qf(z)]}{(1-{\frac{{\alpha}}{q}})f(z)+{\alpha}zD_qf(z)}{\prec}{\varphi}(z)$(${\alpha}{\in}{\mathbb{C}}{\backslash}(0,1]$, 0 < q < 1). Sharp bounds for the $Fekete-Szeg{\ddot{o}}$ functional ${\mid}{\alpha}_1-{\mu}{\alpha}^2_0{\mid}$ are obtained.
Suffciency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions
Aouf, Mohamed Kamal,Mostafa, Adela Osman,Zayed, Hanaa Mousa Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.1
The purpose of this paper is to introduce sufficient conditions for (Gaussian) hypergeometric functions to be in various subclasses of analytic functions. Also, we investigate several mapping properties involving these subclasses.
Aouf, Mohamed K.,Seoudy, Tamer M. Korean Mathematical Society 2011 대한수학회보 Vol.48 No.3
In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.
AOUF, MOHAMED KAMAL,MAGESH, NANJUNDAN,YAMINI, JAGADESAN Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.2
In this paper, we define two new subclass of k-uniformly starlike and convex functions of order ${\alpha}$ type ${\beta}$ with varying argument of coefficients. Further, we obtain coefficient estimates, extreme points, growth and distortion bounds, radii of starlikeness, convexity and results on modified Hadamard products.
AN APPLICATION OF CERTAIN LINEAR OPERATOR
Aouf, M.K.,Hossen, H.M.,Lashin, A.Y. Korean Mathematical Society 2000 대한수학회보 Vol.37 No.4
The object of the present paper is to give an application of a linear operator $L_p(a, c)$ defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.