10.6.25 Analytic Functions
Condition: check if the specified function will be regular. For a regular function, find a derivative using a formula. \ [F (z) = \ frac {d u} {d x}+i \ frac {d v} {d x} \ mid \ begin {array} {l} x = z \\ y = 0 \ end {array}, \ quad f (z) = \ ln (\ bar {z} -1) \ text {. } \]
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.