10.6.19 Analytic Functions
Condition: restore the analytical in the vicinity of the point \ (z_ {0} \) function \ (f (z) \) by the known real \ (u (x, y) \) or imaginary part \ (v (x, y) \) and value \ (f \ left (z_ {0} \ right) \): \ [V = 2 x x y-2 y, \ quad f (0) = 1 \]
Differentiation of Analytic Functions, Finding Their Real and Imaginary Parts, Finding the Number of Roots Equates Using the Argement Principle, Roucher's Theorem and Much More in this space.