Convergence of the arithmetic-geometric mean procedure for the complex variables and the calculation of the complete elliptic integrals with complex modulus

DOI10.1007/BF01402565zbMath0242.65019MaRDI QIDQ2554219

Tohru Morita, Tsuyoshi Horiguchi

Publication date: 1973

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132206

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items (3)

Calculation of the complete elliptic integrals with complex modulus ⋮ Matrix Arithmetic-Geometric Mean and the Computation of the Logarithm ⋮ A noncontinuous generalization of the arithmetic-geometric mean.

Cites Work

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• Numerical calculation of elliptic integrals and elliptic functions
• On the numerical calculation of elliptic integrals of the first and second kind and the elliptic functions of Jacobi
• Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral
• Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices

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