large order
(0.003 seconds)
11—20 of 89 matching pages
11: Bibliography H
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Lamé polynomials of large order.
SIAM J. Math. Anal. 8 (5), pp. 800–842.
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On the resurgence properties of the uniform asymptotic expansion of Bessel functions of large order.
Proc. Roy. Soc. London Ser. A 455, pp. 3917–3930.
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12: 10.45 Functions of Imaginary Order
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►In consequence of (10.45.5)–(10.45.7), and comprise a numerically satisfactory pair of solutions of (10.45.1) when is large, and either and , or and , comprise a numerically satisfactory pair when is small, depending whether or .
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►For properties of and , including uniform asymptotic expansions for large
and zeros, see Dunster (1990a).
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13: 14.15 Uniform Asymptotic Approximations
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§14.15(i) Large , Fixed
… ►For asymptotic expansions and explicit error bounds, see Dunster (2003b). …14: Bibliography J
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Parabolic cylinder functions of large order.
J. Comput. Appl. Math. 190 (1-2), pp. 453–469.
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15: 11.6 Asymptotic Expansions
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§11.6(ii) Large , Fixed
…16: Bibliography P
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Exactification of the method of steepest descents: The Bessel functions of large order and argument.
Proc. Roy. Soc. London Ser. A 460, pp. 2737–2759.
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17: 10.21 Zeros
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§10.21(vii) Asymptotic Expansions for Large Order
… ►§10.21(viii) Uniform Asymptotic Approximations for Large Order
…18: 11.11 Asymptotic Expansions of Anger–Weber Functions
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§11.11(ii) Large , Fixed
…19: Bibliography D
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Bessel functions of purely imaginary order, with an application to second-order linear differential equations having a large parameter.
SIAM J. Math. Anal. 21 (4), pp. 995–1018.
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Uniform asymptotic expansions for associated Legendre functions of large order.
Proc. Roy. Soc. Edinburgh Sect. A 133 (4), pp. 807–827.
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20: Bibliography L
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Asymptotic expansions of the Whittaker functions for large order parameter.
Methods Appl. Anal. 6 (2), pp. 249–256.
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