Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1222.30011
Noor, Khalida Inayat; Noor, Muhammad Aslam; Al-Said, Eisa A.
On certain analytic functions with bounded radius rotation. (English)
[J] Comput. Math. Appl. 61, No. 10, 2987-2993 (2011). ISSN 0898-1221

Summary: Certain classes $R_k(\mu,\alpha)$; $k\ge 2$, $\mu>-1$, $0\le\alpha<1$ of analytic functions are defined in the unit disc using convolution technique. It is shown that functions in $R_{k}(\mu ,\alpha )$ are of bounded radius rotation. It is proved that $R_{k}(\mu ,\alpha )$ and some other newly introduced related classes are invariant under the generalized Bernardi integral operator. The converse case as a radius problem is also considered. Theorems proved in this paper are best possible in some sense.

MSC 2000:: *30C45 Special classes of univalent and multivalent functions

Keywords: bounded radius rotation; starlike; linear operator; Ruscheweyh derivative; convolution; functions with positive real part

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]