Elliptic Integrals and Jacobi's Zeta Function of Complex Argument.

Evaluates the elliptic integrals of complex phase.

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ELLIPTIC12i evaluates the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function for the complex value of phase U. Parameter M must be in the range 0 <= M <= 1.

[Fi,Ei,Zi] = ELLIPTIC12i(U,M,TOL)

where U is a complex phase in radians, M is the real parameter and TOL is the tolerance (optional). Default value for the tolerance is eps = 2.220e-16.

ELLIPTIC12i uses the function ELLIPTIC12 to evaluate the values of corresponding integrals.

See also ELLIPKE, ELLIPJ, ELLIPTIC12.

Cite As

Moiseev Igor (2026). Elliptic Integrals and Jacobi's Zeta Function of Complex Argument. (https://www.mathworks.com/matlabcentral/fileexchange/17745-elliptic-integrals-and-jacobi-s-zeta-function-of-complex-argument), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.2.0.0

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1.0.0.0