New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators

Details New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators

2009-11-03

arxiv.org/abs/0911.0534v1

Mathematica, Tome 50, (73) (1) (2008), 3 - 12

Mathematics

Complex Variables

10 pages. Published

Scientific paper

Let $E$ be the open unit disk $\{z\in \mathbb{C}: |z|<1\}$. Let $A$ be the class of analytic functions in $E$, which have the form $f(z)=z+a_2z^2+...$. We define operators $L_n^\sigma\colon A\to A$ using the convolution *. Using these operators, we define and study new classes of functions in the unit disk. Moreover, we obtain some basic properties of the new classes, namely inclusion, growth, covering, distortion, closure under certain integral transformation and coefficient inequalities.

Affiliated with

Also associated with

No associations

Rating

New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256386