For a function , analytic in D, with , the order of starlikeness (with respect to zero) is
and if at least , the order of convexity of is
The author studies the ‘shifted’ hypergeometric function
and gives several new results, for instance
In particular, in all cases for D and in the cases 2–4 the function is not convex. 5. Let R, such that for D. If either (a) or (b) , then
Using known results, the author then derives information about the order of convexity for quite a number of new cases.
A densely written paper.