Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives

The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the expo