Mahnaz M. Nargesi
- Courses11
- Reviews27
- School: California State University Fullerton
- Campus:
- Department: Mathematics
- Email address: Join to see
- Phone: Join to see
-
Location:
800 N State College Blvd
Fullerton, CA - 92831 - Dates at California State University Fullerton: January 2014 - June 2020
- Office Hours: Join to see
N/A
Would take again: No
For Credit: Yes
0
0
Mandatory
Poor
Prof. Mahnaz's explanations weren't really helpful. She gives tougher questions on exams than on homework or on the guide. Groupwork isn't clear as well and she even makes you pay for websites to do the homework. She isn't worth it at all.
Biography
Mahnaz Moradi Nargesi is a/an Lecturer in the California State University department at California State University
California State University Fullerton - Mathematics
Lecturer at California State University, Fullerton
Higher Education
Mahnaz
Moradi Nargesi
La Habra, California
My goals for teaching mathematics are to present the concepts in the simplest, most transparent way, to ensure students' fluency and confidence in their problem-solving skills, and to transmit joy and excitement as the mathematical structures and possibilities unfold. The moment when a student successfully grasps a new concept is a deeply satisfying experience for me. I try to start the topic with historical background and end by applications. The most important strategy in the teaching of mathematics must be interactive and involve the student. I am always interested in encouraging students to explore applications of mathematics beyond the standard course material.
I have been equally devoted to the research side of my graduate training. My experience as a member of the GFT (Geometric Function Theory) research group in Malaysia introduced me to the pleasures of leading discussions and the challenges of transforming new subjects into useful weekly seminars. My dissertation is entitled "Inclusion Properties of Linear Operators and Analytic Functions." This study investigates six research problems in Geometric Function Theory. In the past years, I have published six papers in this area.
Experience
Cypress College
Lecturer
Mahnaz worked at Cypress College as a Lecturer
California State University, Fullerton
Lecturer
Teaching courses including: Linear Algebra, Differential Equations, Calculus I, III.
University Sains Malaysia
Teaching Asistant
I tutored and taught Linear Algebra and Calculus I and II.
Saddleback College
Math Tutorial Specialist
Tutor mathematics courses including: Development Mathematics, Pre-Algebra, Intermediate-Algebra, Advanced-Algebra, Pre-Calculus, Calculus 3A, Calculus 3B, Calculus 3C, Differential Equations
California State Polytechnic University-Pomona
Lecturer
The taught courses: Calculus I, II, III
Education
University Saina Malaysia
Doctor of Philosophy (PhD)
Mathematics, Complex Analysis
Taribiat Modarres University
Master's degree
Mathematics
Publications
Convolution properties of classes of analytic and meromorphic functions
Journal Inequalities and Applications
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.
Convolution properties of classes of analytic and meromorphic functions
Journal Inequalities and Applications
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.
Coefficient inequalities for starlikeness and convexity
Tamkang J. Math.
For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq \beta, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
Convolution properties of classes of analytic and meromorphic functions
Journal Inequalities and Applications
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.
Coefficient inequalities for starlikeness and convexity
Tamkang J. Math.
For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq \beta, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
On differential subordination of linear operators satisfying a recurrence relation
Journal of Analysis
A general class consisting of the operators satisfying a certain first-order differential recurrence relation is introduced. For any operator in this class, certain second-order differential subordination and superordination implications are investigated on analytic functions generated by the operator. Several sandwich-type results are also obtained. The results obtained unify earlier works.
Convolution properties of classes of analytic and meromorphic functions
Journal Inequalities and Applications
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.
Coefficient inequalities for starlikeness and convexity
Tamkang J. Math.
For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq \beta, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
On differential subordination of linear operators satisfying a recurrence relation
Journal of Analysis
A general class consisting of the operators satisfying a certain first-order differential recurrence relation is introduced. For any operator in this class, certain second-order differential subordination and superordination implications are investigated on analytic functions generated by the operator. Several sandwich-type results are also obtained. The results obtained unify earlier works.
Radius constants for analytic functions with fixed second coefficient
http://arxiv.org/abs/1207.3950
Let $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$ be analytic in the unit disk with second coefficient $a_2$ satisfying $|a_2|=2b$, $0\leq b\leq1$. Sharp radius of Janowski starlikeness and other radius constants are obtained when $|a_n|\leq cn+d$ ($c,d\geq0$) or $|a_n|\leq c/n$ ($c>0$) for $n\geq3$.
Convolution properties of classes of analytic and meromorphic functions
Journal Inequalities and Applications
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.
Coefficient inequalities for starlikeness and convexity
Tamkang J. Math.
For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq \beta, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
On differential subordination of linear operators satisfying a recurrence relation
Journal of Analysis
A general class consisting of the operators satisfying a certain first-order differential recurrence relation is introduced. For any operator in this class, certain second-order differential subordination and superordination implications are investigated on analytic functions generated by the operator. Several sandwich-type results are also obtained. The results obtained unify earlier works.
Radius constants for analytic functions with fixed second coefficient
http://arxiv.org/abs/1207.3950
Let $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$ be analytic in the unit disk with second coefficient $a_2$ satisfying $|a_2|=2b$, $0\leq b\leq1$. Sharp radius of Janowski starlikeness and other radius constants are obtained when $|a_n|\leq cn+d$ ($c,d\geq0$) or $|a_n|\leq c/n$ ($c>0$) for $n\geq3$.
Convexity of integral transforms and duality
Complex Var. Elliptic Equ.
For $\lambda$ satisfying a certain admissibility criteria, sufficient conditions are obtained for the integral transform \begin{align*}V_\lambda(f)(z):=\int_0^1\lambda(t)\frac{f(tz)} t}dt\end{align*} to map normalized analytic functions $f$ satisfying \begin{align*} {\rm Re\,} e^{i\phi}\left((1-\alpha+2\gamma)\frac{f(z)}{z}+(\alpha-2\gamma)f'(z)+\gamma zf''(z)-\beta \right)> 0 \end{align*} into the class of convex functions. Several interesting applications for different choices of $\lambda$ are discussed. In particular, the smallest value $\beta<1$ is obtained that ensures a function $f$ satisfying ${\rm Re\,} \left(f'(z)+\alpha zf''(z)+\gamma ^2f'''(z)\right)>\beta$ is convex.
Convolution properties of classes of analytic and meromorphic functions
Journal Inequalities and Applications
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.
Coefficient inequalities for starlikeness and convexity
Tamkang J. Math.
For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq \beta, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
On differential subordination of linear operators satisfying a recurrence relation
Journal of Analysis
A general class consisting of the operators satisfying a certain first-order differential recurrence relation is introduced. For any operator in this class, certain second-order differential subordination and superordination implications are investigated on analytic functions generated by the operator. Several sandwich-type results are also obtained. The results obtained unify earlier works.
Radius constants for analytic functions with fixed second coefficient
http://arxiv.org/abs/1207.3950
Let $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$ be analytic in the unit disk with second coefficient $a_2$ satisfying $|a_2|=2b$, $0\leq b\leq1$. Sharp radius of Janowski starlikeness and other radius constants are obtained when $|a_n|\leq cn+d$ ($c,d\geq0$) or $|a_n|\leq c/n$ ($c>0$) for $n\geq3$.
Convexity of integral transforms and duality
Complex Var. Elliptic Equ.
For $\lambda$ satisfying a certain admissibility criteria, sufficient conditions are obtained for the integral transform \begin{align*}V_\lambda(f)(z):=\int_0^1\lambda(t)\frac{f(tz)} t}dt\end{align*} to map normalized analytic functions $f$ satisfying \begin{align*} {\rm Re\,} e^{i\phi}\left((1-\alpha+2\gamma)\frac{f(z)}{z}+(\alpha-2\gamma)f'(z)+\gamma zf''(z)-\beta \right)> 0 \end{align*} into the class of convex functions. Several interesting applications for different choices of $\lambda$ are discussed. In particular, the smallest value $\beta<1$ is obtained that ensures a function $f$ satisfying ${\rm Re\,} \left(f'(z)+\alpha zf''(z)+\gamma ^2f'''(z)\right)>\beta$ is convex.
Inclusion criteria for subclasses of functions and Gronwall's inequality
Tamsui Oxford J. Math. Sci.
A normalized analytic function f is shown to be univalent in the open unit disk D if its second coefficient is sufficiently small and relates to its Schwarzian derivative through a certain inequality. New criteria for analytic functions to be in certain subclasses of functions are established in terms of the Schwarzian derivatives and the second coefficients. These include obtaining a sufficient condition for functions to be strongly $\alpha$-Bazilevi\^c of order $\beta$.
