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convert/Elliptic_related

convert - when possible - special functions admitting a 2F1 hypergeometric representation into Elliptic related functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert(expr, Elliptic_related)

Parameters

expr

-

Maple expression, equation, or a set or list of them

Description

• 

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

(1)

Examples

LegendreP12,z

LegendreP12,z

(2)

convert,Elliptic_related

22z+1EllipticEz1z+1π22EllipticKz1z+1πz+1

(3)

hypergeom12,12,1,z2

hypergeom12,12,1,z2

(4)

convert,Elliptic_related

2EllipticEzπ

(5)

1πhypergeom12,12,1,1z22

12πhypergeom12,12,1,z2+1

(6)

convert,Elliptic_related

EllipticCKz

(7)

1πz2LegendreP12,1+2z2+LegendreP12,z22z21z24

14πz2LegendreP12,2z21+LegendreP12,z22z21z2

(8)

convert,Elliptic_related

EllipticCEz

(9)

LegendreP12,12z2

LegendreP12,2z2+1

(10)

convert,Elliptic_related

2EllipticKzπ

(11)

MeijerG12,32,,0,0,1+z2

MeijerG12,32,,0,0,z21

(12)

convert,Elliptic_related

4EllipticCEz

(13)

See Also

convert

convert/to_special_function

EllipticE

EllipticK

FunctionAdvisor

 


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