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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: 27.16 Cryptography
Applications to cryptography rely on the disparity in computer time required to find large primes and to factor large integers. For example, a code maker chooses two large primes p and q of about 400 decimal digits each. …For this reason, the codes are considered unbreakable, at least with the current state of knowledge on factoring large numbers. …
6: 28.16 Asymptotic Expansions for Large q
§28.16 Asymptotic Expansions for Large q
7: 12.16 Mathematical Applications
8: 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 .
9: 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.
  • 10: 10.57 Uniform Asymptotic Expansions for Large Order
    §10.57 Uniform Asymptotic Expansions for Large Order