Pursuant to Title 17 USC 105, the National Institute of Standards and Technology (NIST), United States Department of Commerce, is authorized to receive and hold copyrights transferred to it by assignment or otherwise. Authors of the works appearing in the Digital Library of Mathematical Functions (DLMF) have assigned copyright to the works to NIST, United States Department of Commerce, as represented by the Secretary of Commerce. All materials on this website are owned by NIST.
Limited copying and internal distribution of the content of these pages is permitted for research and teaching. Reproduction, copying, or distribution for any commercial purpose is strictly prohibited. Bulk copying, reproduction, or redistribution in any form is not permitted. Excessive downloading which results in bandwidth degradation for other users is not permitted and may result in having offending subnets blocked. Questions regarding this copyright policy should be directed to dlmf-feedback.
While NIST has made every effort to ensure the accuracy and reliability of the information in the DLMF, the DLMF is expressly provided “AS-IS.” NIST makes NO WARRANTY OF ANY TYPE, including no warranties of merchantability or fitness for a particular purpose. NIST makes no warranties or representations as to the correctness, accuracy, or reliability of the DLMF. As a condition of using the DLMF, you explicitly release NIST from any and all liabilities for any damage of any type that may result from errors or omissions in the DLMF.
Certain products, commercial and otherwise, are mentioned in the DLMF. These mentions are for informational purposes only, and do not imply recommendation or endorsement by NIST.
Privacy and Security Notice
The information we receive depends upon what you do when visiting our site. We collect no personally identifying information about you when you visit our site, unless you choose to provide that information to us.
If you visit our site to read or download information, we collect and store only the following information:
The name of the internet domain from which you accessed our site and the Internet Protocol (IP) address or host name which may or may not identify a specific computer.
The date and time you access our site.
The pages you visit.
The Internet address of the website from which you linked directly to our site.
If you identify yourself by sending an E-mail containing personal information:
You also may decide to send us personally identifying information (for example, your mailing address) in an electronic mail message or web-based form requesting that information or products be mailed to you. Information collected in this manner is used solely for responding to your request unless noted in the specific web page where your request is made.
Note: NIST is not responsible for the privacy practices employed by non-NIST sites that may link to or from the NIST website.
Software Indexing Policy
The DLMF wishes to provide users of special functions with essential reference information related to the use and application of special functions in research, development, and education. Using special functions in applications often requires computing them. Thus, we seek to provide DLMF users with links to sources of such software. We do this in two ways.
- Index of Selected Software Within the DLMF Chapters
Within each of the DLMF chapters themselves we will provide a list of research software for the functions discussed in that chapter. The purpose of these listings is to provide references to the research literature on the engineering of software for special functions. To qualify for listing, the development of the software must have been the subject of a research paper published in the peer-reviewed literature. If such software is available online for free download we will provide a link to the software.
In general, we will not index other software within DLMF chapters unless the software is unique in some way, such as being the only known software for computing a particular function.
- Master Software Index
In association with the DLMF we will provide an index of all software for the computation of special functions covered by the DLMF. It is our intention that this will become an exhaustive list of sources of software for special functions. In each case we will maintain a single link where readers can obtain more information about the listed software. We welcome requests from software authors (or distributors) for new items to list.
Note that here we will only include software with capabilities that go beyond the computation of elementary functions in standard precisions since such software is nearly universal in scientific computing environments.
These software indexes are provided as a service to the user community. NIST expressly does not endorse or recommend any specific product or service. The absence of a listing does not imply that software is unsuitable for its intended purpose. NIST does not provide support of any kind for software indexed in the DLMF. Please contact us if you have software that you believe should be listed.