Efficient evaluation of incomplete elliptic integrals and functions

DOI10.1016/0898-1221(88)90010-7zbMath0667.33001OpenAlexW2169629729MaRDI QIDQ1117368

T. F. Lemczyk, M. Michael Yovanovich

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90010-7

zbMATH Keywords

theta functionselliptic functionselliptic integralsAGM

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05)

Related Items

Elliptic integrals and the Schwarz-Christoffel transformation

Uses Software

• algorithm 577

Cites Work

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• Thermal constriction resistance with convective boundary conditions. II. Layered half-space contacts
• Computing elliptic integrals by duplication
• Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
• Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
• Rapidly-convergent methods for evaluating elliptic integrals and theta and elliptic functions
• Elliptic Integrals in Terms of Legendre Polynomials
• On certain integrals of Lipschitz-Hankel type involving products of bessel functions

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