expansions in series of Bessel functions

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11: 6.10 Other Series Expansions

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§6.10(ii) Expansions in Series of Spherical Bessel Functions

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12: 28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions

§28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions

… ►For further power series of Mathieu radial functions of integer order for small parameters and improved convergence rate see Larsen et al. (2009).

13: 28.34 Methods of Computation

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Numerical summation of the expansions in series of Bessel functions (28.24.1)–(28.24.13). These series converge quite rapidly for a wide range of values of $q$ and $z$.

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14: 11.9 Lommel Functions

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§11.9(ii) Expansions in Series of Bessel Functions

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15: 7.6 Series Expansions

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§7.6(ii) Expansions in Series of Spherical Bessel Functions

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16: 11.4 Basic Properties

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§11.4(iv) Expansions in Series of Bessel Functions

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17: 8.21 Generalized Sine and Cosine Integrals

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Spherical-Bessel-Function Expansions

… ►For (8.21.16), (8.21.17), and further expansions in series of Bessel functions see Luke (1969b, pp. 56–57). …

18: 11.10 Anger–Weber Functions

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§11.10(viii) Expansions in Series of Products of Bessel Functions

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19: 10.41 Asymptotic Expansions for Large Order

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20: Bibliography L

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Expansion of the confluent hypergeometric function in series of Bessel functions. Math. Tables Aids Comput. 13 (68), pp. 261–271.

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Referenced by:

§13.24(ii).

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