A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Level sets for functions convex in one direction
1987
Proceedings of the American Mathematical Society
Preserved Fulltext
Goodman and Saff conjectured that if / is convex in the direction of the imaginary axis then so are the functions \f(rz) for all 0 < r < \2 -1, i.e., the level sets f(\z\ < r) are convex in the direction of the imaginary axis for 0 < r < \¡2 -1. A weak form of this conjecture is proved and a question of Brannan is answered negatively.
doi:10.1090/s0002-9939-1987-0891142-9
fatcat:wl5sod5vdrahtdnzri27krp5ma