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Application of theta functions for numerical evaluation of complete elliptic integrals of the first and second kinds. (English) Zbl 0997.65515
65D20Computation of special functions, construction of tables
33E05Elliptic functions and integrals
Full Text: DOI
[1] Abramowitz, M.; Stegun, I. A.: Handbook of mathematical functions, applied mathematics series. 55 (1965)
[2] Cody, W. J.: Math. comput.. 19, 105 (1965)
[3] Erdélyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F. G.: 3rd ed. Higher transcendental functions. Higher transcendental functions (1953)
[4] Smythe, W. R.: Static and dynamic electricity. 291 (1968) · Zbl 65.1021.02
[5] Jackson, J. D.: Classical electrodynamics. (1975) · Zbl 0997.78500
[6] Jr., C. Hastings: Approximations for digital computers. (1955) · Zbl 0066.10704
[7] Carlson, B. C.; Notis, E. M.: ACM trans. Math. software. 7, 398 (1981)
[8] Whittaker, E. T.; Watson, G. N.: Modern analysis. (1952) · Zbl 0108.26903
[9] Gradshteyn, I. S.; Ryzhik, I. M.: Table of integrals, series, and products. 923-925 (1980) · Zbl 0521.33001