One of the important formulas for know holomorphic functions is  is Couchy”s integral formula. Using this formula, the function given at the boundary can be restored to the holomorphic within the field. Carleman  formulas deal with te problem the holomorphic restoration of a given function within a boundary there are several methods of calculatinhg the Carleman formula,in particular Goluzin-Krilov, Kitminov,Lavrentov methods and soon.

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