The NIST Digital Repository of Mathematical Formulae is designed for a mathematically literate audience and should
- facilitate interaction among a community of mathematicians and scientists interested in compendia formulae data for orthogonal polynomials and special functions;
- be expandable, allowing the input of new formulae from the literature;
- represent the context-free full semantic information concerning individual formulas;
- have a user friendly, consistent, and hyperlinkable viewpoint and authoring perspective;
- contain easily searchable mathematics; and
- take advantage of modern MathML tools for easy to read, scalably rendered content driven mathematics.
Sample Seeding Project Implementations
KLS and KLSadd: Orthogonal Polynomials
DLMF Verification Project
Sample formula home pages with DLMF proofs given
Digital Repository of Mathematical Formulae
- Algebraic and Analytic Methods
- Asymptotic Approximations
- Numerical Methods
- Elementary Functions
- Gamma Function
- Exponential, Logarithmic, Sine, and Cosine Integrals
- Error Functions, Dawson’s and Fresnel Integrals
- Incomplete Gamma and Related Functions
- Airy and Related Functions
- Bessel Functions
- Struve and Related Functions
- Parabolic Cylinder Functions
- Confluent Hypergeometric Functions
- Legendre and Related Functions
- Hypergeometric Function
- Generalized Hypergeometric Functions and Meijer G-Function
- q-Hypergeometric and Related Functions
- Orthogonal Polynomials
- Elliptic Integrals
- Theta Functions
- Multidimensional Theta Functions
- Jacobian Elliptic Functions
- Weierstrass Elliptic and Modular Functions
- Bernoulli and Euler Polynomials
- Zeta and Related Functions
- Combinatorial Analysis
- Functions of Number Theory
- Mathieu Functions and Hill’s Equation
- Lamé Functions
- Spheroidal Wave Functions
- Heun Functions
- Painlevé Transcendents
- Coulomb Functions
- 3j,6j,9j Symbols
- Functions of Matrix Argument
- Integrals with Coalescing Saddles
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