We consider the class of meromorphic univalent functions having a simple pole at p ∈ (0, 1) and that map the unit disc onto the exterior of a domain which is starlike with respect to a point 𝓌0 ≠ 0, ∞. We denote this class of functions by Σ∗ (p, 𝓌0). In this paper, we find the exact region of variability for the second Taylor coefficient for functions in Σ∗ (p, 𝓌0). In view of this result we rectify some results of James Miller.
@article{1423,
title = {On Some Problems of James Miller},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1423}
}
Bhowmik, B.; Wirths, K.-J.; Ponnusamy, S. On Some Problems of James Miller. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1423/