# large κ

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## 1—10 of 152 matching pages

##### 1: 16.22 Asymptotic Expansions

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►Asymptotic expansions of ${G}_{p,q}^{m,n}(z;\mathbf{a};\mathbf{b})$ 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 $\mathit{3}j$, $\mathit{6}j$, and $\mathit{9}j$ symbols, different asymptotic forms are obtained depending on which parameters are large. …##### 4: 33.18 Limiting Forms for Large $\mathrm{\ell}$

###### §33.18 Limiting Forms for Large $\mathrm{\ell}$

…##### 5: 27.16 Cryptography

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►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.
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##### 6: 28.16 Asymptotic Expansions for Large $q$

###### §28.16 Asymptotic Expansions for Large $q$

…##### 7: 12.16 Mathematical Applications

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##### 8: Bibliography U

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Integrals with a large parameter. Several nearly coincident saddle-points.
Proc. Cambridge Philos. Soc. 72, pp. 49–65.
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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.
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Integrals with a large parameter: Legendre functions of large degree and fixed order.
Math. Proc. Cambridge Philos. Soc. 95 (2), pp. 367–380.
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