@article{Gryshchuk_Plaksa_2009, title={Integral representations of generalized axially symmetric potentials in a simply connected domain}, volume={61}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3012}, abstractNote={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.}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Gryshchuk, S. V. and Plaksa, S. A.}, year={2009}, month={Feb.}, pages={160-177} }