10.6.29 Analytic Functions
Condition: find and draw on the plane \ ((\ alpha; \ beta) \) areas in which the number of roots of the polynomial \ (p (z) = z^{3}+(\ alpha+\ beta) z {2}+(\ alpha+\ beta) z+\ alpha \) having a positive actual part is a conditional.
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.