10.6.30 Analytic Functions
Condition: Restore the analytical in the vicinity of the point \ (z_ {0} \) function \ (f (z) \) according to the known actual part \ (u (x, y) \) or imaginary \ (v (x, y) \) and value \ (f \ left (z_ {0} \ right) \). \ [v = y- \ frac {y} {x^{2}+y^{2}}, f (1) = 2 \]
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.