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EllipticThetaPrime

EllipticThetaPrime
gives the derivative with respect to u of the theta function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, EllipticThetaPrime automatically evaluates to exact values.
Evaluate numerically:
Series expansion:
Evaluate numerically:
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Click for copyable input
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Series expansion:
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Click for copyable input
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Evaluate numerically for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
EllipticThetaPrime threads element-wise over lists:
EllipticThetaPrime evaluates symbolically for special arguments:
TraditionalForm formatting:
EllipticThetaPrime can be applied to power series:
Solution of the 1D heat equation with Dirichlet boundary condition and initial condition :
Calculate the temperature gradient:
Plot the temperature gradient:
Electrostatic force in a NaCl-like crystal with point-like ions:
Plot the magnitude of the force in a plane through the crystal:
The canonical rotational distribution function for linear molecules :
Plot a numerical approximation of the partition function:
Machine-precision input is insufficient to give a correct answer:
Use arbitrary-precision arithmetic to obtain the correct result:
The first argument must be an explicit integer between 1 and 4:
Different argument conventions exist:
Visualize a function with a boundary of analyticity:
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