Harmonic Functions & Conjugate Harmonic Functions with 4 Questions

In this video we will discuss: 1. Harmonic Functions @ 00:24 min. 2. If f(z) is Analytic Function then u & v both are Harmonic Function (PROOF) @ 01:34 min. 3. Conjugate Harmonic Function/Conjugate Function @ 06:06 min. 4. Four different Questions : Q. Prove that the following functions are harmonic & obtain their conjugate function- (a) u(x,y) = 2x(1-y) @ 08:55 min. (b) u(x,y) = y3 - 3x2y @ 13:55 min. (c) u(x,y) = 1/2 log(x2+y2) @ 19:45 min. (d) u(x,y) = x3 - 3xy2 + 3x2 - 3y2 + 1 @ 26:21 min. Watch Also: Cauchy-Riemann equations (c-r equations)...necessary condition for analytic function    • Cauchy-Riemann equations (c-r equations).....   Sufficient Condition for a Function to be Analytic with proof    • Sufficient Condition for a Function to be ...   PLAYLISTS LINK : 1. Cauchy integral formula and proof    • Cauchy Integral Theorem and Formula   2. Maxima & Minima (Extreme Values)    • Maxima & Minima (Extreme Values)   3. ε-δ Definition of Limit    • ε-δ Definition of Limit   4. BSc Mathematics    • BSc Mathematics   5. Conformal Mapping    • Conformal Mapping   Email-id: nikhil.gupta34@gmail.com WhatsApp number: 63766-37094 #HarmonicFunction