C-2 Elliptic kernel, elliptic modulus, elliptic functions, elliptic integrals 525
These notes on elliptic functions and elliptic integrals are by no means sufficient to get some insight into these special functions. For numerical calculations based upon the Landen transformation,
we refer to R. Bulirsch (1965a,b,1969a,b), M. Gerstl (1984), and A. Kneser (1928). General references
are M. Abramowitz and J. A. Stegun (1972), R. Ayoub (1984), R. Bellman (1961), R. Cooke (1994),
D. Dumont (1981), R. Fricke (1913), P. M. Porter (1989), W. H. Press et al. (1992), M. Rosen (1981),
A. Schett (1977), E. I. Slavutin (1973), L. A. Sorokina (1983), J. Spanier and K. B. Oldham (1987),
J. Stillwell (1989), F. Toelke (1967), and F. Tricomi (1948).
These notes on elliptic functions and elliptic integrals are by no means sufficient to get some insight into these special functions. For numerical calculations based upon the Landen transformation,
we refer to R. Bulirsch (1965a,b,1969a,b), M. Gerstl (1984), and A. Kneser (1928). General references
are M. Abramowitz and J. A. Stegun (1972), R. Ayoub (1984), R. Bellman (1961), R. Cooke (1994),
D. Dumont (1981), R. Fricke (1913), P. M. Porter (1989), W. H. Press et al. (1992), M. Rosen (1981),
A. Schett (1977), E. I. Slavutin (1973), L. A. Sorokina (1983), J. Spanier and K. B. Oldham (1987),
J. Stillwell (1989), F. Toelke (1967), and F. Tricomi (1948).