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JOURNALS // Mathematical Education // Archive

Math. Ed., 2012 Issue 2(62), Pages 66–70 (Mi mo218)

Students and teachers of mathematical specialties

On Equivalent Definitions of Connectivity of an Open Set and on Goursat Formula which Restoresan Analytic Function via its Real Part

S. V. Shvedenko


Abstract: 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.



© Steklov Math. Inst. of RAS, 2026