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Harmonic Functions and Conjugates Explained by সায়েম মুহাম্মাদ is a document available to read on EtoBox.

What is Harmonic Functions and Conjugates Explained about?

(1) This document provides solutions to problems involving harmonic functions and harmonic conjugates. It shows that a given function u is harmonic and finds its harmonic conjugate v. (2) It also finds the harmonic conjugates of two other functions, u = 2x - x^3 + 3xy^2 and u = -3x^2y + y^3, by solving the corresponding Laplace equations. (3) It proves that if v is a harmonic conjugate of u, then -u is a harmonic conjugate of v, and vice versa.

Author

সায়েম মুহাম্মাদ

Language

EN