Nist Handbook Of Mathematical Functions Pdf Download

NIST Handbook and Digital Library of Mathematical Functions

Together with Tom H. Koornwinder, Roderick S.C. Wong and René F. Swarttouw I have written a chapter on Orthogonal Polynomials for the Digital Library of Mathematical Functions (DLMF). This project was organized by the Mathematics Department of the National Institute of Standards and Technology (NIST).

Starting point of the project was to review and update the Handbook of Mathematical Functions (with Formulas, Graphs, and Mathematical Tables) edited by M. Abramowitz and I.A. Stegun. An online version of this book can be found here or here. This handbook was first published by the National Bureau of Standards (NBS) in 1964 and last corrected in 1972. It is still in print. This National Bureau of Standards (NBS) was renamed the National Institute of Standards and Technology (NIST) in 1988.

Final goal of the project was to make the Digital Library of Mathematical Functions (DLMF) an electronic publication on the World Wide Web. It should turn out to be a major new mathematical reference source on the World Wide Web for special functions and their applications.

The website of the DLMF can be found here:

Digital Library of Mathematical Functions (DLMF).

Here is a direct link to our chapter:

Chapter 18: Orthogonal Polynomials

Errata:

First row of Table 18.9.1: 2n+λ should read 2(n+λ)
The first reference in §18.36(i) should read Koornwinder (1984b)

It has also appeared in printed form published by Cambridge University Press: NIST Handbook of Mathematical Functions

NIST Handbook of Mathematical Functions
ISBN 978-0-521-19225-5 (Hardback)

ISBN 978-0-521-14063-8 (Paperback)

Here is the official announcement of the publication:

NIST Releases Successor to Venerable Handbook of Math Functions

Last modified on January 26, 2015