On the coefficient bodies of meromorphic univalent functions omitting a disc
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 47-58
Let S(b) be the class of bounded normalized univalent functions and Σ(b) the class of normalized univalent meromorphic functions omitting a disc with radius b. The close connection between these classes allows shifting the coefficient body information from the former to the latter. The first non-trivial body can be determined in Σ(b) as well as the next one in the real subclass $Σ_{R}(b)$.
@article{10_4064_ap_75_1_47_58,
author = {Olli Tammi},
title = {On the coefficient bodies of meromorphic univalent functions omitting a disc},
journal = {Annales Polonici Mathematici},
pages = {47--58},
year = {2000},
volume = {75},
number = {1},
doi = {10.4064/ap-75-1-47-58},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-47-58/}
}
TY - JOUR AU - Olli Tammi TI - On the coefficient bodies of meromorphic univalent functions omitting a disc JO - Annales Polonici Mathematici PY - 2000 SP - 47 EP - 58 VL - 75 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-47-58/ DO - 10.4064/ap-75-1-47-58 LA - en ID - 10_4064_ap_75_1_47_58 ER -
Olli Tammi. On the coefficient bodies of meromorphic univalent functions omitting a disc. Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 47-58. doi: 10.4064/ap-75-1-47-58
Cité par Sources :