asymptotic expansions for large variable
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11—20 of 81 matching pages
11: 33.12 Asymptotic Expansions for Large
§33.12 Asymptotic Expansions for Large
…12: 8.12 Uniform Asymptotic Expansions for Large Parameter
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Inverse Function
…13: 10.41 Asymptotic Expansions for Large Order
14: Bibliography W
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An asymptotic expansion of with large variable and parameters.
Math. Comp. 27 (122), pp. 429–436.
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15: 10.20 Uniform Asymptotic Expansions for Large Order
16: 10.72 Mathematical Applications
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►In regions in which (10.72.1) has a simple turning point , that is, and are analytic (or with weaker conditions if is a real variable) and is a simple zero of , asymptotic expansions of the solutions for large
can be constructed in terms of Airy functions or equivalently Bessel functions or modified Bessel functions of order (§9.6(i)).
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17: 8.18 Asymptotic Expansions of
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§8.18(ii) Large Parameters: Uniform Asymptotic Expansions
… ►Symmetric Case
… ►General Case
… ►Inverse Function
►For asymptotic expansions for large values of and/or of the -solution of the equation …18: 10.69 Uniform Asymptotic Expansions for Large Order
§10.69 Uniform Asymptotic Expansions for Large Order
… ►All fractional powers take their principal values. ►All four expansions also enjoy the same kind of double asymptotic property described in §10.41(iv). … ►19: 12.10 Uniform Asymptotic Expansions for Large Parameter
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►In this section we give asymptotic expansions of PCFs for large values of the parameter that are uniform with respect to the variable
, when both and
are real.
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20: 10.40 Asymptotic Expansions for Large Argument
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10.40.2
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