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Scilabヘルプ >> Special Functions > gamma

gamma

ガンマ関数.

呼び出し手順

y = gamma(x)

引数

x

scalar, vector, matrix, or hypermatrix of real numbers.

gamma can be overloaded for complex numbers or of lists, tlists or mlists.
y

(xと同じ大きさの)実数ベクトルまたは行列.

説明

gamma(x) は, xの全要素についてガンマ関数を計算します. ガンマ関数は以下のように定義されます:

そして,階乗関数を実数に一般化します. (gamma(u+1) = u*gamma(u)).

// 簡単な例
gamma(0.5)
gamma(6)-prod(1:5)
// [a,b]のガンマ関数のグラフ
a = -3; b = 5;
x = linspace(a,b,40000);
y = gamma(x);
clf()
plot2d(x, y, style=0, axesflag=5, rect=[a, -10, b, 10])
xtitle("The gamma function on ["+string(a)+","+string(b)+"]")
show_window()

参照

  • gammaln — ガンマ関数の対数.
  • dlgamma — ガンマ関数, psi関数の微分
  • factorial — factorial function : product of the n first positive integers

履歴

VersionDescription
5.4.0 list, mlist, tlistおよびハイパー行列型のオーバーロードが 可能となりました.
6.0.2
  • The input can now be an hypermatrix.
  • gamma can now be overloaded for complex numbers.
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Last updated:
Tue Feb 25 08:53:21 CET 2020