Phys 404 (Mathematical Physics III)

Course Description:

1- Solution of Hermite equation by general power series and the proof of orthogonality of Hermite polynomials and recurrence relations for Hermite polynomials using the generating function and rodrigues formula
2- Solution of Legendre equation by general power series and the proof of orthogonality of Lagedre polynomials and recurrence relations for Lagedre polynomials using the generating function and rodrigues formula
3-Solution of Laguerre equation
4-Fourier Series, properties of Fourier Series ,summation of Fourier series , the complex form of Fourier series
5-Fourier transforms and Laplace transforms
6-Solution of differential equations by Fourier transforms and Laplace transforms