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11: 35.10 Methods of Computation
For large 𝐓 the asymptotic approximations referred to in §35.7(iv) are available. … These algorithms are extremely efficient, converge rapidly even for large values of m , and have complexity linear in m .
12: Bibliography U
  • F. Ursell (1972) Integrals with a large parameter. Several nearly coincident saddle-points. Proc. Cambridge Philos. Soc. 72, pp. 49–65.
  • F. Ursell (1980) Integrals with a large parameter: A double complex integral with four nearly coincident saddle-points. Math. Proc. Cambridge Philos. Soc. 87 (2), pp. 249–273.
  • F. Ursell (1984) Integrals with a large parameter: Legendre functions of large degree and fixed order. Math. Proc. Cambridge Philos. Soc. 95 (2), pp. 367–380.
  • 13: 10.57 Uniform Asymptotic Expansions for Large Order
    §10.57 Uniform Asymptotic Expansions for Large Order
    14: 10.70 Zeros
    §10.70 Zeros
    Asymptotic approximations for large zeros are as follows. …If m is a large positive integer, then …
    15: Karl Dilcher
    Over the years he authored or coauthored numerous papers on Bernoulli numbers and related topics, and he maintains a large on-line bibliography on the subject. …
    16: 10.69 Uniform Asymptotic Expansions for Large Order
    §10.69 Uniform Asymptotic Expansions for Large Order
    17: 13.19 Asymptotic Expansions for Large Argument
    §13.19 Asymptotic Expansions for Large Argument
    18: 15.12 Asymptotic Approximations
    §15.12(i) Large Variable
    §15.12(ii) Large c
    For large b and c with c > b + 1 see López and Pagola (2011).
    §15.12(iii) Other Large Parameters
    For other extensions, see Wagner (1986), Temme (2003) and Temme (2015, Chapters 12 and 28).
    19: 10.41 Asymptotic Expansions for Large Order
    §10.41 Asymptotic Expansions for Large Order
    §10.41(i) Asymptotic Forms
    §10.41(ii) Uniform Expansions for Real Variable
    20: 13.8 Asymptotic Approximations for Large Parameters
    §13.8 Asymptotic Approximations for Large Parameters
    §13.8(ii) Large b and z , Fixed a and b / z
    §13.8(iii) Large a
    §13.8(iv) Large a and b