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1: 16.22 Asymptotic Expansions
Asymptotic expansions of G p , q m , n ( z ; a ; b ) for large z are given in Luke (1969a, §§5.7 and 5.10) and Luke (1975, §5.9). For asymptotic expansions of Meijer G -functions with large parameters see Fields (1973, 1983).
2: 14.26 Uniform Asymptotic Expansions
§14.26 Uniform Asymptotic Expansions
3: 34.8 Approximations for Large Parameters
§34.8 Approximations for Large Parameters
For large values of the parameters in the 3 j , 6 j , and 9 j symbols, different asymptotic forms are obtained depending on which parameters are large. …
4: 33.18 Limiting Forms for Large
§33.18 Limiting Forms for Large
5: 28.16 Asymptotic Expansions for Large q
§28.16 Asymptotic Expansions for Large q
6: 12.16 Mathematical Applications
7: 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.
  • 8: 10.57 Uniform Asymptotic Expansions for Large Order
    §10.57 Uniform Asymptotic Expansions for Large Order
    9: 10.70 Zeros
    §10.70 Zeros
    Asymptotic approximations for large zeros are as follows. …If m is a large positive integer, then …
    10: 18.40 Methods of Computation
    Usually, however, other methods are more efficient, especially the numerical solution of difference equations (§3.6) and the application of uniform asymptotic expansions (when available) for OP’s of large degree. …