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EllipticNomeQ

EllipticNomeQ[m]
gives the nome q corresponding to the parameter m in an elliptic function.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • EllipticNomeQ[m] has a branch cut discontinuity in the complex m plane running from to .
  • For certain special arguments, EllipticNomeQ automatically evaluates to exact values.
Series expansion:
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Series expansion:
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Simple arguments evaluate automatically:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
EllipticNomeQ threads element-wise over lists:
TraditionalForm formatting:
EllipticNomeQ can be applied to power series:
Plot EllipticNomeQ over the complex plane:
Use FullSimplify to simplify expressions containing EllipticNomeQ:
Compose with inverse functions:
Find the derivative:
Symbolically solve a transcendental equation:
Numerically find a root of a transcendental equation:
For most named special functions, the direct function is single-valued and the inverse is multi-valued. EllipticNomeQ is a multi-valued function and the inverse function, InverseEllipticNomeQ, is single-valued. As a result, the following is correct everywhere:
Riemann surface of EllipticNomeQ:
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