Elliptic integrals and functions.
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__init__(self,
k2=0,
alpha2=0,
kp2=None,
alphap2=None)
Constructor, specifying the modulus and
parameter . |
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deltaD(self,
sn,
cn,
dn)
The periodic Jahnke's incomplete elliptic integral. |
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deltaE(self,
sn,
cn,
dn)
The periodic incomplete integral of the second kind. |
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deltaEinv(self,
stau,
ctau)
The periodic inverse of the incomplete integral of the second kind. |
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deltaF(self,
sn,
cn,
dn)
The periodic incomplete integral of the first kind. |
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deltaG(self,
sn,
cn,
dn)
Legendre's periodic geodesic longitude integral. |
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deltaH(self,
sn,
cn,
dn)
Cayley's periodic geodesic longitude difference integral. |
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deltaPi(self,
sn,
cn,
dn)
The periodic incomplete integral of the third kind. |
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fD(self,
phi_or_sn,
cn=None,
dn=None)
Jahnke's incomplete elliptic integral in terms of Jacobi elliptic
functions. |
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fDelta(self,
sn,
cn)
The Delta amplitude function. |
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fE(self,
phi_or_sn,
cn=None,
dn=None)
The incomplete integral of the second kind in terms of Jacobi
elliptic functions. |
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fEd(self,
deg)
The incomplete integral of the second kind with the argument given in
degrees. |
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fEinv(self,
x)
The inverse of the incomplete integral of the second kind. |
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fF(self,
phi_or_sn,
cn=None,
dn=None)
The incomplete integral of the first kind in terms of Jacobi elliptic
functions. |
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fG(self,
phi_or_sn,
cn=None,
dn=None)
Legendre's geodesic longitude integral in terms of Jacobi elliptic
functions. |
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fH(self,
phi_or_sn,
cn=None,
dn=None)
Cayley's geodesic longitude difference integral in terms of Jacobi
elliptic functions. |
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fPi(self,
phi_or_sn,
cn=None,
dn=None)
The incomplete integral of the third kind in terms of Jacobi elliptic
functions. |
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reset(self,
k2=0,
alpha2=0,
kp2=None,
alphap2=None)
Reset the modulus and parameter. |
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sncndn(self,
x)
The Jacobi elliptic function. |
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Inherited from named._Named :
__repr__ ,
__str__ ,
_dot_ ,
attrs ,
classof ,
copy ,
toRepr ,
toStr ,
toStr2
Inherited from object :
__delattr__ ,
__format__ ,
__getattribute__ ,
__hash__ ,
__new__ ,
__reduce__ ,
__reduce_ex__ ,
__setattr__ ,
__sizeof__ ,
__subclasshook__
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