Vous avez des améliorations (ou des corrections) à proposer pour ce document :
je vous remerçie par avance de m'en faire part, cela m'aide à améliorer le site.
ellipkm1(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])
ellipkm1(p, out=None)
Complete elliptic integral of the first kind around `m` = 1
This function is defined as
.. math:: K(p) = \\int_0^{\\pi/2} [1 - m \\sin(t)^2]^{-1/2} dt
where `m = 1 - p`.
Parameters
----------
p : array_like
Defines the parameter of the elliptic integral as `m = 1 - p`.
out : ndarray, optional
Optional output array for the function values
Returns
-------
K : scalar or ndarray
Value of the elliptic integral.
See Also
--------
ellipk : Complete elliptic integral of the first kind
ellipkinc : Incomplete elliptic integral of the first kind
ellipe : Complete elliptic integral of the second kind
ellipeinc : Incomplete elliptic integral of the second kind
elliprf : Completely-symmetric elliptic integral of the first kind.
Notes
-----
Wrapper for the Cephes [1]_ routine `ellpk`.
For ``p <= 1``, computation uses the approximation,
.. math:: K(p) \\approx P(p) - \\log(p) Q(p),
where :math:`P` and :math:`Q` are tenth-order polynomials. The
argument `p` is used internally rather than `m` so that the logarithmic
singularity at ``m = 1`` will be shifted to the origin; this preserves
maximum accuracy. For ``p > 1``, the identity
.. math:: K(p) = K(1/p)/\\sqrt(p)
is used.
References
----------
.. [1] Cephes Mathematical Functions Library,
http://www.netlib.org/cephes/
Améliorations / Corrections
Vous avez des améliorations (ou des corrections) à proposer pour ce document : je vous remerçie par avance de m'en faire part, cela m'aide à améliorer le site.
Emplacement :
Description des améliorations :