In the past weeks, I have struggled with finding suitable tables for integral indentities for Beta functions, Chebyshev polynomials and their like.
I would like to ask for online/offline resources and software, which collect tables of special functions and their properties, integral identities, tables of Fourier/Laplace transforms of special functions, and so forth.
An example is the Bateman Manuscript Project, from which 3 out of 5 books are freely available: http://en.wikipedia.org/wiki/Bateman_Manuscript_Project
Btw, is there way to search effectively for an integral identity?
Best Answer
Two canonical online references are:
The Digital Library of Mathematical Functions (http://dlmf.nist.gov/)
This is the official successor of the venerable Handbook of Mathematical Functions by Abramowitz and Stegun.
The Wolfram Functions Site (http://functions.wolfram.com/)
An expansive collection of identities and properties of special functions amassed and neatly categorized by Wolfram Research.