Sufficiency for hypergeometric transforms to be associated with conic regions
For a certain integral operator acting on the normalized Gaussian hypergeometric function z F (a, b; c; z) given by F(a, b; c; z) = (infinity)(n=0)Sigma(a, n)(b, n)/(c, n)(1, n) z(n), vertical bar z vertical bar < 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. (c) 2006 Elsevier Ltd. All rights reserved.
gaussian hypergeometric functions univalent convex starlike integral transforms