TY - JOUR
AU - S. V. Gryshchuk
AU - S. A. Plaksa
PY - 2009/02/25
Y2 - 2023/02/05
TI - Integral representations of generalized axially symmetric potentials in a simply connected domain
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 61
IS - 2
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3012
AB - We obtain integral representations of generalized axially symmetric potentials via analytic functions of a complex variable that are defined in an arbitrary simply connected bounded domain symmetric with respect to the real axis. We prove that these integral representations establish a one-to-one correspondence between analytic functions of a complex variable that take real values on the real axis and generalized axially symmetric potentials of certain classes.
ER -