On Equivalent Definitions of Connectivity of an Open Set and on Goursat Formula which Restoresan Analytic Function via its Real Part
Matematičeskoe obrazovanie, no. 2 (2012), pp. 66-70
S. V. Shvedenko. On Equivalent Definitions of Connectivity of an Open Set and on Goursat Formula which Restoresan Analytic Function via its Real Part. Matematičeskoe obrazovanie, no. 2 (2012), pp. 66-70. http://geodesic.mathdoc.fr/item/MO_2012_2_a5/
@article{MO_2012_2_a5,
     author = {S. V. Shvedenko},
     title = {On {Equivalent} {Definitions} of {Connectivity} of an {Open} {Set} and on {Goursat} {Formula} which {Restoresan} {Analytic} {Function} via its {Real} {Part}},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {66--70},
     year = {2012},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2012_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The equivalence of three definitions of connectivity of an open set in complex plane is proved as well as Goursat formula which restores an analytic function via its real part.