# DLMF Results

DLMF | Formula | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
---|---|---|---|---|---|---|---|

1.2.E1 | `binomial(n,k)=(factorial(n))/(factorial(n - k)*factorial(k))` |
`Binomial[n,k]=Divide[(n)!,(n - k)!*(k)!]` |
Successful | Successful | - | - |

# Results of the Digital Library of Mathematical Functions

- 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