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ModularLambda
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EllipticTheta
EllipticTheta
[
a
,
u
,
q
]
gives the theta function
(
).
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
.
.
.
.
The
are defined only inside the unit
q
disk; the disk forms a natural boundary of analyticity.
Inside the unit
q
disk,
and
have branch cuts from 0 to -1.
For certain special arguments,
EllipticTheta
automatically evaluates to exact values.
EllipticTheta
can be evaluated to arbitrary numerical precision.
EllipticTheta
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansion:
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(1)
Applications
(7)
Properties & Relations
(2)
Possible Issues
(3)
Neat Examples
(1)
SEE ALSO
ModularLambda
DedekindEta
KleinInvariantJ
EllipticExp
EllipticLog
SiegelTheta
TUTORIALS
Elliptic Integrals and Elliptic Functions
MORE ABOUT
Elliptic Functions
Mathematical Functions
Number Theoretic Functions
Number Theory
Special Functions
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)
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