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NevilleThetaC

NevilleThetaC
gives the Neville theta function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • NevilleThetaC is a meromorphic function of and has a complicated branch cut structure in the complex plane.
  • For certain special arguments, NevilleThetaC automatically evaluates to exact values.
Evaluate numerically:
Series expansion:
Evaluate numerically:
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Series expansion:
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Click for copyable input
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Evaluate to high precision:
The precision of the output tracks the precision of the input:
NevilleThetaC threads element-wise over lists:
Evaluate for complex arguments and parameters:
NevilleThetaC evaluates symbolically for special arguments and parameters:
NevilleThetaC can be applied to a power series:
Plot over the plane:
Current flow in a rectangular conducting sheet with voltage applied at a pair of opposite corners:
Plot the flow lines:
Parametrize a lemniscate by arc length:
Show the classical and arc length parametrizations:
Basic simplifications are automatically carried out:
Numerically find a root of a transcendental equation:
Machine-precision input is insufficient to give a correct answer:
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