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Scilab help >> Elementary Functions > Trigonometry > acsch

acsch

引数の逆双曲線余割を要素毎に計算する.

呼び出し手順

y = acsch(x)

パラメータ

x

実数または複素数の配列.

y

実数または複素数の配列.

説明

引数の逆双曲線余割を要素毎に計算する. 絶対値が1より大きい実数引数の場合,結果は実数となる.

以下の等式が成り立つ: acsch(z) = -acsch(-z) = asinh(1/z) = csgn(%i+1/z)*asech(-i*z)-%i*%pi/2 = %i*acsc(%i*z)

x=linspace(1,20,200);
x=[-x($:-1:1) %nan x];
plot(x,acsch(x))

参照

  • csch — 引数の双曲線コセカントを要素毎に計算する.

リファレンス

  • Kahan, W., "Branch cuts for complex elementary functions, or, Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM conference on The State of the Art in Numerical Analysis, University of Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford, 1987, 165-210.

作者

  • Serge Steer, INRIA
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Last updated:
Thu Mar 03 11:00:51 CET 2011