TY - JOUR
T1 - Condenser capacity under multivalent holomorphic functions
AU - Papadimitrakis, Michael
AU - Pouliasis, Stamatis
PY - 2013/5
Y1 - 2013/5
N2 - We prove an inequality for the capacity of a condenser via a holomorphic function f, under a valency assumption on f, and we show that equality occurs if and only if f has finite constant valency. Also, we generalize a well known inequality for quasiregular mappings and we give a necessary condition for the case of equality.
AB - We prove an inequality for the capacity of a condenser via a holomorphic function f, under a valency assumption on f, and we show that equality occurs if and only if f has finite constant valency. Also, we generalize a well known inequality for quasiregular mappings and we give a necessary condition for the case of equality.
KW - Condenser capacity
KW - Green energy
KW - Quasiregular mappings
KW - Valency
UR - http://www.scopus.com/inward/record.url?scp=84878473804&partnerID=8YFLogxK
U2 - 10.1007/s40315-012-0004-9
DO - 10.1007/s40315-012-0004-9
M3 - Article
AN - SCOPUS:84878473804
SN - 1617-9447
VL - 13
SP - 11
EP - 20
JO - Computational Methods and Function Theory
JF - Computational Methods and Function Theory
IS - 1
ER -