convert/Elliptic_related
convert - when possible - special functions admitting a 2F1 hypergeometric representation into Elliptic related functions
Calling Sequence
Parameters
Description
Examples
convert(expr, Elliptic_related)
expr
-
Maple expression, equation, or a set or list of them
convert/Elliptic_related converts - when possible - special functions admitting a 2F1 hypergeometric representation into Elliptic related functions; that is, into any of:
FunctionAdvisor( Elliptic_related );
The 11 functions in the "Elliptic_related" class are:
EllipticCE,EllipticCK,EllipticCPi,EllipticE,EllipticF,EllipticK,EllipticModulus,EllipticNome,EllipticPi,InverseJacobiAM,InverseJacobiSN
LegendreP12,z
convert,Elliptic_related
22z+1EllipticEz−1z+1π−22EllipticKz−1z+1πz+1
hypergeom−12,12,1,z2
2EllipticEzπ
12πhypergeom12,12,1,1−z2
πhypergeom12,12,1,−z2+12
EllipticCKz
14πz2LegendreP−12,−1+2z2+LegendreP12,−z2−2z2sqrt1z2
πz2LegendreP−12,2z2−1+LegendreP12,−z2−2z21z24
EllipticCEz
LegendreP−12,1−2z2
LegendreP−12,−2z2+1
2EllipticKzπ
MeijerG12,32,,0,0,−1+z2
MeijerG12,32,,0,0,z2−1
−4EllipticCEz
See Also
convert
convert/to_special_function
EllipticE
EllipticK
FunctionAdvisor
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