Data Publication

Digital Library of Mathematical Functions

Frank W. J. Olver, Adri B. Olde Daalhuis Author's orcid, Daniel W. Lozier, Barry I. Schneider Author's orcid, Ronald F. Boisvert Author's orcid, Charles W. Clark, Bruce R. Miller Author's orcid, Bonita V. Saunders Author's orcid, Howard S. Cohl Author's orcid, Marjorie A. McClain
Contact: Barry I. Schneider.
Identifier: doi:10.18434/M3167
Version: 1.0...
The Digital Library of Mathematical Functions (DLMF) is an online reference on the properties of the special functions of applied mathematics. It contains three methodological chapters and 33 chapters focused on individual classes of functions. Information on functions include definitions, notations, series expansions, integrals, connection formulae, asymptotics, special values, methods of computation, etc. It includes hundreds of visualizations of the functions, including interactive three-dimensional representations of complex-valued functions. A math-aware search engine is also available. Extensive links to available software and external references are also provided.
Research Areas
NIST R&D: Mathematics and Statistics
Keywords: mathematical functionsspecial functionsmathematical physics
These data are public.
Data and related material can be found at the following locations:
  Digital Library of Mathematical Functions
A compendium of the properties of the special functions of applied mathematics.
Version: 1.0...
Cite this dataset
Frank W. J. Olver, Adri B. Olde Daalhuis, Daniel W. Lozier, Barry I. Schneider, Ronald F. Boisvert, Charles W. Clark, Bruce R. Miller, Bonita V. Saunders, Howard S. Cohl, Marjorie A. McClain (2019), Digital Library of Mathematical Functions, National Institute of Standards and Technology, https://doi.org/10.18434/M3167 (Accessed 2025-05-04)
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