…
►
…
►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).
…
…
►
12.10.33
,
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►
…
►The proof of the double asymptotic property then follows with the aid of
error bounds; compare §
10.41(iv).
…
…
►For confirmed
errors, the Editors have made the corrections listed here.
…
►
Equation (7.2.3)
Originally named as a complementary error function,
has been renamed as the Faddeeva (or Faddeyeva) function.
…
►
Subsection 9.7(iii)
Bounds have been sharpened. The second paragraph now reads,
“The th error term is bounded in magnitude
by the first neglected term multiplied by where for
(9.7.7) and for (9.7.8), provided that in the
first case and in the second case.” Previously it read,
“In (9.7.7) and (9.7.8) the th error term
is bounded in magnitude by the first neglected term multiplied by
where for (9.7.7) and
for (9.7.8), provided that in both cases.”
In Equation (9.7.16)
9.7.16
the bounds on the right-hand sides have been sharpened.
The factors
,
,
were originally given by
,
,
respectively.
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►
Chapters 8, 20, 36
►
Equations (18.16.12), (18.16.13)
The upper and lower bounds given have been replaced with stronger bounds.
…