Title: On concave univalent functions
Speaker: Dr. Bappaditya Bhowmik
Date: 25 February 2010
Time: 11:00 a.m.
Venue: Lecture Hall - I, Dept. of Mathematics

One of the most important subclasses of the class of normalized analytic univalent functions on the open unit disc D is the class of convex functions. In this talk we will focus on meromorphic analogues of the results known for this class. I.e. we consider functions that map D conformally onto a set whose complement is a bounded convex set. We shall begin with a brief history of Livingston’s conjecture which concerns the exact set of variability of the Taylor coefficients for concave functions. Thereafter, we shall discuss some new results concerning the closed convex hull of concave functions and extreme points of it.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 04 Aug 2020