Geodesic
On Equivalent Definitions of Connectivity of an Open Set and on Goursat Formula which Restoresan Analytic Function via its Real Part
Matematičeskoe obrazovanie, Tome 62 (2012) no. 2, pp. 66-70.

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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. 
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     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},
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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, Tome 62 (2012) no. 2, pp. 66-70. http://geodesic.mathdoc.fr/item/MO_2012_62_2_a5/