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 !! Translations<br>Maple !! Translations<br>Mathematica !! Symbolic Evaluation<br>Maple !! Symbolic Evaluation<br>Mathematica !! Numeric Evaluation<br>Maple !! Numeric Evaluation<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 || - || -
| [https://dlmf.nist.gov/ DLMF] || 6,709 || 3,875 (57.8%) || 4,010 (59.8%) || 978 (25.2%) || 983 (24.5%) || 420 (10.8%) || 930 (23.2%)
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= Results of the Digital Library of Mathematical Functions =
= Results of the Digital Library of Mathematical Functions =
<div style="-moz-column-count:2; column-count:2;">
<div style="-moz-column-count:2; column-count:2;">
# [[Algebraic and Analytic Methods]]
# [[Results of Algebraic and Analytic Methods|Algebraic and Analytic Methods]]
# [[Asymptotic Approximations]]
# [[Results of Asymptotic Approximations|Asymptotic Approximations]]
# [[Numerical Methods]]
# [[Results of Numerical Methods|Numerical Methods]]
# [[Elementary Functions]]
# [[Results of Elementary Functions|Elementary Functions]]
# [[Gamma Function]]
# [[Results of Gamma Function|Gamma Function]]
# [[Exponential, Logarithmic, Sine, and Cosine Integrals]]
# [[Results of Exponential, Logarithmic, Sine, and Cosine Integrals|Exponential, Logarithmic, Sine, and Cosine Integrals]]
# [[Error Functions, Dawson’s and Fresnel Integrals]]
# [[Results of Error Functions, Dawson’s and Fresnel Integrals|Error Functions, Dawson’s and Fresnel Integrals]]
# [[Incomplete Gamma and Related Functions]]
# [[Results of Incomplete Gamma and Related Functions|Incomplete Gamma and Related Functions]]
# [[Airy and Related Functions]]
# [[Results of Airy and Related Functions|Airy and Related Functions]]
# [[Bessel Functions]]
# [[Results of Bessel Functions|Bessel Functions]]
# [[Struve and Related Functions]]
# [[Results of Struve and Related Functions|Struve and Related Functions]]
# [[Parabolic Cylinder Functions]]
# [[Results of Parabolic Cylinder Functions|Parabolic Cylinder Functions]]
# [[Confluent Hypergeometric Functions]]
# [[Results of Confluent Hypergeometric Functions|Confluent Hypergeometric Functions]]
# [[Legendre and Related Functions]]
# [[Results of Legendre and Related Functions|Legendre and Related Functions]]
# [[Hypergeometric Function]]
# [[Results of Hypergeometric Function|Hypergeometric Function]]
# [[Generalized Hypergeometric Functions and Meijer G-Function|Generalized Hypergeometric Functions and Meijer ''G''-Function]]
# [[Results of Generalized Hypergeometric Functions and Meijer G-Function|Generalized Hypergeometric Functions and Meijer ''G''-Function]]
# [[q-Hypergeometric and Related Functions|''q''-Hypergeometric and Related Functions]]
# [[Results of q-Hypergeometric and Related Functions|''q''-Hypergeometric and Related Functions]]
# [[Orthogonal Polynomials]]
# [[Results of Orthogonal Polynomials|Orthogonal Polynomials]]
# [[Elliptic Integrals]]
# [[Results of Elliptic Integrals|Elliptic Integrals]]
# [[Theta Functions]]
# [[Results of Theta Functions|Theta Functions]]
# [[Multidimensional Theta Functions]]
# [[Results of Multidimensional Theta Functions|Multidimensional Theta Functions]]
# [[Jacobian Elliptic Functions]]
# [[Results of Jacobian Elliptic Functions|Jacobian Elliptic Functions]]
# [[Weierstrass Elliptic and Modular Functions]]
# [[Results of Weierstrass Elliptic and Modular Functions|Weierstrass Elliptic and Modular Functions]]
# [[Bernoulli and Euler Polynomials]]
# [[Results of Bernoulli and Euler Polynomials|Bernoulli and Euler Polynomials]]
# [[Zeta and Related Functions]]
# [[Results of Zeta and Related Functions|Zeta and Related Functions]]
# [[Combinatorial Analysis]]
# [[Results of Combinatorial Analysis|Combinatorial Analysis]]
# [[Functions of Number Theory]]
# [[Results of Functions of Number Theory|Functions of Number Theory]]
# [[Mathieu Functions and Hill’s Equation]]
# [[Results of Mathieu Functions and Hill’s Equation|Mathieu Functions and Hill’s Equation]]
# [[Lamé Functions]]
# [[Results of Lamé Functions|Lamé Functions]]
# [[Spheroidal Wave Functions]]
# [[Results of Spheroidal Wave Functions|Spheroidal Wave Functions]]
# [[Heun Functions]]
# [[Results of Heun Functions|Heun Functions]]
# [[Painlevé Transcendents]]
# [[Results of Painlevé Transcendents|Painlevé Transcendents]]
# [[Coulomb Functions]]
# [[Results of Coulomb Functions|Coulomb Functions]]
# [[3j,6j,9j Symbols|''3j,6j,9j'' Symbols]]
# [[Results of 3j,6j,9j Symbols|''3j,6j,9j'' Symbols]]
# [[Functions of Matrix Argument]]
# [[Results of Functions of Matrix Argument|Functions of Matrix Argument]]
# [[Integrals with Coalescing Saddles]]
# [[Results of Integrals with Coalescing Saddles|Integrals with Coalescing Saddles]]
</div>
</div>

Latest revision as of 14:17, 19 January 2020