Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1139.30308
Swaminathan, A.
Sufficiency for hypergeometric transforms to be associated with conic regions. (English)
[J] Math. Comput. Modelling 44, No. 3-4, 276-286 (2006). ISSN 0895-7177

Summary: For a certain integral operator acting on the normalized Gaussian hypergeometric function $zF(a,b;c;z)$ given by $$F(a,b;c;z)=\sum^\infty_{n=0}\frac{(a,n)(b,n)}{(c,n)(1,n)}\ z^n,\quad |z|<1,$$ the author aims at finding conditions on $a,b$ and $c$ such that the operator maps certain subclasses of analytic functions into some other classes of functions that have nice geometric properties related to certain conic regions.

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

Keywords: univalent; convex; starlike; Gaussian hypergeometric functions; integral transforms

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]