10.6.26 Analytic Functions
Condition: Whether this function can serve to serve as a real or imaginary part of a certain regular function and, if possible, restore this regular function as \ (F (Z) \). Make sure that the function found is regular and satisfies the given condition. In the condition: \ (u (x, y) \) - the actual part, \ (v (x, y) - \) imaginary part. \ [V (x, y) = \ peratorname {ch} (2 x) \ cos (2 y) \]
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.