The Mathematical Functions Site was created as
a resource for the educational, mathematical and scientific
communities. It contains the world's most encyclopedic collection
of information about mathematical functions. The site also details
the interrelationships between the special functions of mathematical
physics and the elementary functions of mathematical analysis
as well as the interrelationships between the functions in each
The vast collection of content at functions.wolfram.com
was made possible by the powerful features of the Wolfram Language.
Its built-in functions, symbolic capabilities, high-precision
numerics, programmatic file manipulation and typesetting
were all indispensable to bringing this project to fruition.
There are several unique aspects to the presentation of
information on this site. The material is organized in a uniform
way, thereby providing a summary of the current state of knowledge
in the field of special functions. Any gaps in the contents
indicate areas where additional research may be needed. Hierarchically
structured, interlinked content gives the site a navigability
impossible in printed handbooks. In addition to the current
ability to search for functions and formulas by name, an enhanced
semantic-based search engine will allow formulas to be searched
as easily as plain text, a functionality hitherto unavailable
All formulas are available not only in Wolfram Language
StandardForm but also in MathML and ASCII form. Wolfram
Notebooks and PDF documents containing all the information
in the Mathematical Functions Site are available for download.
Formulas in StandardForm
enable their quick and easy usage from within Wolfram technologies.
MathML enables typeset mathematics to be displayed in web
browsers and other programs that support it, while ASCII form
allows the information to be copied and manipulated in other
programs that do not offer support for MathML.
This site is the largest formula compendium for mathematical
functions on the web. Along with MathWorld,
it reflects Wolfram Research's continuing commitment to provide
state-of-the-art online technical information as part of the