asymptotic expansions for large parameters

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1: 8.20 Asymptotic Expansions of $E_p\left(z\right)$

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§8.20(ii) Large $p$

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2: 8.18 Asymptotic Expansions of $I_x(a,b)$

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§8.18(ii) Large Parameters: Uniform Asymptotic Expansions

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Symmetric Case

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General Case

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Inverse Function

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3: 12.11 Zeros

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§12.11(iii) Asymptotic Expansions for Large Parameter

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4: 12.10 Uniform Asymptotic Expansions for Large Parameter

§12.10 Uniform Asymptotic Expansions for Large Parameter

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§12.10(vi) Modifications of Expansions in Elementary Functions

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Modified Expansions

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5: 16.22 Asymptotic Expansions

… ►For asymptotic expansions of Meijer $G$-functions with large parameters see Fields (1973, 1983).

6: 8.12 Uniform Asymptotic Expansions for Large Parameter

§8.12 Uniform Asymptotic Expansions for Large Parameter

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Inverse Function

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7: 12.14 The Function $W(a,x)$

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§12.14(ix) Uniform Asymptotic Expansions for Large Parameter

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Positive $a$,

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Airy-type Uniform Expansions

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8: 16.11 Asymptotic Expansions

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§16.11(iii) Expansions for Large Parameters

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9: 14.32 Methods of Computation

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Application of the uniform asymptotic expansions for large values of the parameters given in §§14.15 and 14.20(vii)–14.20(ix).

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10: 2.3 Integrals of a Real Variable

… ►Then … ►Then the series obtained by substituting (2.3.7) into (2.3.1) and integrating formally term by term yields an asymptotic expansion: …