10.6.21 Analytic Functions
Condition: Restore the analytical in the vicinity of the point \ (z_ {0} \) function \ (f (z) \) according to the known real \ (u (x, y) \) or imaginary part \ (v (x, y) \) and value \ (f \ left (z_ {0} \ right) \). \ [u = e^{-y} \ cos x+x, 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.