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for large |γ2|

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1: 30.9 Asymptotic Approximations and Expansions
§30.9(i) Prolate Spheroidal Wave Functions
The behavior of λ n m ( γ 2 ) for complex γ 2 and large | λ n m ( γ 2 ) | is investigated in Hunter and Guerrieri (1982).
2: 30.16 Methods of Computation
If | γ 2 | is large we can use the asymptotic expansions in §30.9. … If | γ 2 | is large, then we can use the asymptotic expansions referred to in §30.9 to approximate Ps n m ( x , γ 2 ) . …
3: 10.74 Methods of Computation
If x or | z | is large compared with | ν | 2 , then the asymptotic expansions of §§10.17(i)10.17(iv) are available. … And since there are no error terms they could, in theory, be used for all values of z ; however, there may be severe cancellation when | z | is not large compared with n 2 . …
4: 15.12 Asymptotic Approximations
If | ph z | < π , then as λ with | ph λ | 1 2 π - δ , …
5: 11.6 Asymptotic Expansions
§11.6(i) Large | z | , Fixed ν
If the series on the right-hand side of (11.6.1) is truncated after m ( 0 ) terms, then the remainder term R m ( z ) is O ( z ν - 2 m - 1 ) . If ν is real, z is positive, and m + 1 2 - ν 0 , then R m ( z ) is of the same sign and numerically less than the first neglected term. …
§11.6(ii) Large | ν | , Fixed z
§11.6(iii) Large | ν | , Fixed z / ν
6: 10.40 Asymptotic Expansions for Large Argument
7: 2.11 Remainder Terms; Stokes Phenomenon
For large | z | , with | ph z | 3 2 π - δ ( < 3 2 π ), the Whittaker function of the second kind has the asymptotic expansion (§13.19) …
8: 15.19 Methods of Computation
The Gauss series (15.2.1) converges for | z | < 1 . … Large values of | a | or | b | , for example, delay convergence of the Gauss series, and may also lead to severe cancellation. … The representation (15.6.1) can be used to compute the hypergeometric function in the sector | ph ( 1 - z ) | < π . … Initial values for moderate values of | a | and | b | can be obtained by the methods of §15.19(i), and for large values of | a | , | b | , or | c | via the asymptotic expansions of §§15.12(ii) and 15.12(iii). For example, in the half-plane z 1 2 we can use (15.12.2) or (15.12.3) to compute F ( a , b ; c + N + 1 ; z ) and F ( a , b ; c + N ; z ) , where N is a large positive integer, and then apply (15.5.18) in the backward direction. …
9: 13.20 Uniform Asymptotic Approximations for Large μ
§13.20 Uniform Asymptotic Approximations for Large μ
§13.20(i) Large μ , Fixed κ
§13.20(v) Large μ , Other Expansions
10: 10.17 Asymptotic Expansions for Large Argument
10.17.4 Y ν ( z ) ( 2 π z ) 1 2 ( sin ω k = 0 ( - 1 ) k a 2 k ( ν ) z 2 k + cos ω k = 0 ( - 1 ) k a 2 k + 1 ( ν ) z 2 k + 1 ) , | ph z | π - δ ,