# DLMF Results: Difference between revisions

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! DLMF !! Formula !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica | ! DLMF !! Formula !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica | ||

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| [[Item:Q30|1.2.E1]] || <math>\binom{n}{k} = \frac{n!}{(n-k)!k!}</math> || <code>binomial(n,k)=(factorial(n))/(factorial(n - k)*factorial(k))</code> || <code>Binomial[n,k]=Divide[(n)!,(n - k)!*(k)!]</code> || Successful || Successful || - || - | | [[Item:Q30|1.2.E1]] || <math>\binom{n}{k} = \frac{n!}{(n-k)!k!}</math> [https://dlmf.nist.gov/1.2.E1] || <code>binomial(n,k)=(factorial(n))/(factorial(n - k)*factorial(k))</code> || <code>Binomial[n,k]=Divide[(n)!,(n - k)!*(k)!]</code> || Successful || Successful || - || - | ||

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## Revision as of 11:57, 17 January 2020

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

1.2.E1 | [1] | `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