Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
2025.0.0 - 日本語


%k

ヤコビの完全楕円積分

呼び出し手順

K = %k(m)

パラメータ

m

vector of real numbers in (-∞,1): 楕円積分パラメーター

K

vector of respective values of the integral.

説明

ヤコビの第一種完全楕円積分を計算します :

K(m) = integral_0^1 {dt / sqrt[(1 - t^2)(1 - m.t^2)]}

参考文献 : Abramowitz and Stegun page 598

m = 0.4;
[%k(m) delip(1, sqrt(m))]
%k([-%inf -10 -1 0 0.1 0.3 0.9])
%k(0)==%pi/2
--> m = 0.4;
--> [%k(m) delip(1, sqrt(m))]
 ans  =
   1.7775194   1.7775194

--> %k([-%inf -10 -1 0 0.1 0.3 0.9])
 ans  =
   0.   0.7908719   1.3110288   1.5707963   1.6124413   1.7138894   2.5780921

--> %k(0)==%pi/2
 ans  =
  T

参照

  • delip — 第一種の完全および不完全楕円積分
  • ellipj — Jacobi elliptic functions
Report an issue
<< Special Functions Special Functions airy >>

Copyright (c) 2022-2024 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Thu Oct 24 11:17:41 CEST 2024