Bessel-function expansion
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11—20 of 96 matching pages
11: 13.24 Series
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§13.24(ii) Expansions in Series of Bessel Functions
… ►Additional expansions in terms of Bessel functions are given in Luke (1959). …12: 26.10 Integer Partitions: Other Restrictions
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§26.10(vi) Bessel-Function Expansion
…13: 11.13 Methods of Computation
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►Although the power-series expansions (11.2.1) and (11.2.2), and the Bessel-function expansions of §11.4(iv) converge for all finite values of , they are cumbersome to use when is large owing to slowness of convergence and cancellation.
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14: 10.66 Expansions in Series of Bessel Functions
§10.66 Expansions in Series of Bessel Functions
…15: 10.17 Asymptotic Expansions for Large Argument
§10.17 Asymptotic Expansions for Large Argument
… ►§10.17(ii) Asymptotic Expansions of Derivatives
… ►§10.17(iii) Error Bounds for Real Argument and Order
… ►§10.17(v) Exponentially-Improved Expansions
… ►For higher re-expansions of the remainder terms see Olde Daalhuis and Olver (1995a) and Olde Daalhuis (1995, 1996).16: 33.9 Expansions in Series of Bessel Functions
§33.9 Expansions in Series of Bessel Functions
►§33.9(i) Spherical Bessel Functions
… ►§33.9(ii) Bessel Functions and Modified Bessel Functions
…17: 30.10 Series and Integrals
18: 10.20 Uniform Asymptotic Expansions for Large Order
§10.20 Uniform Asymptotic Expansions for Large Order
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10.20.5
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§10.20(iii) Double Asymptotic Properties
►For asymptotic properties of the expansions (10.20.4)–(10.20.6) with respect to large values of see §10.41(v).19: 11.9 Lommel Functions
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§11.9(ii) Expansions in Series of Bessel Functions
…20: 7.6 Series Expansions
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