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The NIST Digital Repository of Mathematical Formulae is designed for a mathematically literate audience and should

  1. facilitate interaction among a community of mathematicians and scientists interested in compendia formulae data for orthogonal polynomials and special functions;
  2. be expandable, allowing the input of new formulae from the literature;
  3. represent the context-free full semantic information concerning individual formulas;
  4. have a user friendly, consistent, and hyperlinkable viewpoint and authoring perspective;
  5. contain easily searchable mathematics; and
  6. take advantage of modern MathML tools for easy to read, scalably rendered content driven mathematics.

For more information see Digital Repository of Mathematical Formulae or arXiv:1404.6519.

Sample Seeding Project Implementations

DLMF: Zeta and Related Functions

KLS and KLSadd: Orthogonal Polynomials

DLMF Verification Project

DLMF Results

Useful Pages

How to Upload Your Project to GitHub

How to get access to Wikilabs/Wikitech

Upload and Connect

Sample formula home pages with DLMF proofs given

Digital Repository of Mathematical Formulae

  1. Algebraic and Analytic Methods
  2. Asymptotic Approximations
  3. Numerical Methods
  4. Elementary Functions
  5. Gamma Function
  6. Exponential, Logarithmic, Sine, and Cosine Integrals
  7. Error Functions, Dawson’s and Fresnel Integrals
  8. Incomplete Gamma and Related Functions
  9. Airy and Related Functions
  10. Bessel Functions
  11. Struve and Related Functions
  12. Parabolic Cylinder Functions
  13. Confluent Hypergeometric Functions
  14. Legendre and Related Functions
  15. Hypergeometric Function
  16. Generalized Hypergeometric Functions and Meijer G-Function
  17. q-Hypergeometric and Related Functions
  18. Orthogonal Polynomials
  19. Elliptic Integrals
  20. Theta Functions
  21. Multidimensional Theta Functions
  22. Jacobian Elliptic Functions
  23. Weierstrass Elliptic and Modular Functions
  24. Bernoulli and Euler Polynomials
  25. Zeta and Related Functions
  26. Combinatorial Analysis
  27. Functions of Number Theory
  28. Mathieu Functions and Hill’s Equation
  29. Lamé Functions
  30. Spheroidal Wave Functions
  31. Heun Functions
  32. Painlevé Transcendents
  33. Coulomb Functions
  34. 3j,6j,9j Symbols
  35. Functions of Matrix Argument
  36. Integrals with Coalescing Saddles

Definition Pages


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the National Institute of Standards and Technology (NIST), United States Department of Commerce, this website, a work of the United States Government, is in the public domain.


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