EllipticExpPrime

EllipticExpPrime[u,{a,b}]

gives the derivative of EllipticExp[u,{a,b}] with respect to u.

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, EllipticExpPrime automatically evaluates to exact values.
  • EllipticExpPrime can be evaluated to arbitrary numerical precision.

Examples

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Basic Examples  (2)

Evaluate numerically:

Plot over a subset of the reals:

Scope  (9)

Numerical Evaluation  (4)

Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Complex number inputs:

Evaluate efficiently at high precision:

Specific Values  (2)

Values at fixed points:

Value at zero:

Visualization  (2)

Plot the EllipticExpPrime function for various parameters:

Plot the real part of EllipticExpPrime[x+i y,{1,2}]:

Plot the imaginary part of EllipticExpPrime[x+i y,{1,2}]:

Integration  (1)

Compute the indefinite integral using Integrate:

Verify the anti-derivative:

Applications  (1)

Visualize the function:

Properties & Relations  (1)

EllipticExpPrime is the derivative of EllipticExp:

Introduced in 1991
 (2.0)