𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orthogonal polynomials and special functions

✍ Scribed by Askey R.

Book ID
127418551
Publisher
SIAM
Year
1975
Tongue
English
Weight
1 MB
Category
Library

No coin nor oath required. For personal study only.

✦ Synopsis

Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems.

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Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, bu