values%20on%20the%20cut
♦
4 matching pages ♦
(0.002 seconds)
4 matching pages
1: 25.12 Polylogarithms
…
►Other notations and names for include (Kölbig et al. (1970)), Spence function (’t Hooft and Veltman (1979)), and (Maximon (2003)).
…
►The principal branch has a cut along the interval and agrees with (25.12.1) when ; see also §4.2(i).
…
►
…
►For other values of , is defined by analytic continuation.
…
2: 10.3 Graphics
…
►In the graphics shown in this subsection, height corresponds to the absolute value of the function and color to the phase.
…
►
…
►
…
►
►
…
3: Bibliography O
…
►
An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series.
J. Inst. Math. Appl. 20 (3), pp. 379–391.
…
►
Associated Legendre functions on the cut.
J. Comput. Phys. 51 (3), pp. 502–518.
…
►
Bessel Functions. Part III: Zeros and Associated Values.
Royal Society Mathematical Tables, Volume 7, Cambridge University Press, Cambridge-New York.
…
4: 30.9 Asymptotic Approximations and Expansions
…
►
…
►For uniform asymptotic expansions in terms of Airy or Bessel functions for real values of the parameters, complex values of the variable, and with explicit error bounds see Dunster (1986).
…
►For uniform asymptotic expansions in terms of elementary, Airy, or Bessel functions for real values of the parameters, complex values of the variable, and with explicit error bounds see Dunster (1992, 1995).
…
►The asymptotic behavior of and as is given in Erdélyi et al. (1955, p. 151).
…