Special Functions

Formerly known as ACMS3030.06

A study of the special functions of mathematical physics. Bessel's equation, Bessel functions and their properties, Legendre equation, Legendre functions and their properties; a brief survey of the gamma function, Hermite functions, Laguerre functions, Chebyshev polynomials, hypergeometric and confluent hypergeometric functions; a detailed treatment of numerous boundary value problems, heat flow, wave motion, etc. in Cartesian and polar coordinates; Laplace and Fourier transforms and their properties.

The text will be announced later.