Introduction to Legendre Functions and differential equations
Course Material
- Basic definition and properties of Fourier series, even and odd functions, functions of period p=2L
- Complex Fourier and exercises, Convolution Theorem
- Fourier Integral and exercise, Gibbs Phenomenon
- Fourier transforms, sine transform and cosine transform
- Discrete Fourier transform and its exercise
- Introduction to Legendre Functions and differential equations
- Generating function its properties and related problems
- Derivations of recurrence relation in Legendre functions
- Orthogonality conditions in Legendre functions and solved problems
- Associated Legendre functions and differential equations
- Legendre functions of second kind, Laguerre Functions
- Hermite functions and its properties
- Introduction to Laplace transforms and basic properties
- Laplace transforms of different functions
- Transfer function, initial value problem solving method, Inverse Laplace transform
- Chapters 15
- Department Physics
- Teacher
Dr Muhammad Nawaz Tahir
