Bessel functions and spherical Bessel functions
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21—30 of 61 matching pages
21: 10.57 Uniform Asymptotic Expansions for Large Order
22: 7.6 Series Expansions
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§7.6(ii) Expansions in Series of Spherical Bessel Functions
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7.6.8
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7.6.9
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7.6.10
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7.6.11
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23: 8.7 Series Expansions
§8.7 Series Expansions
►For the functions , , and see (8.4.11), §§10.47(ii), and 18.3, respectively. … ►
8.7.5
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24: 10.59 Integrals
§10.59 Integrals
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10.59.1
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►For an integral representation of the Dirac delta in terms of a product of spherical Bessel functions of the first kind see §1.17(ii), and for a generalization see Maximon (1991).
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25: 33.5 Limiting Forms for Small , Small , or Large
26: 10.75 Tables
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§10.75(ix) Spherical Bessel Functions, Modified Spherical Bessel Functions, and their Derivatives
… ►Zhang and Jin (1996, pp. 296–305) tabulates , , , , , , , , , 50, 100, , 5, 10, 25, 50, 100, 8S; , , , (Riccati–Bessel functions and their derivatives), , 50, 100, , 5, 10, 25, 50, 100, 8S; real and imaginary parts of , , , , , , , , , 20(10)50, 100, , , 8S. (For the notation replace by , , , , respectively.)
§10.75(x) Zeros and Associated Values of Derivatives of Spherical Bessel Functions
…27: 1.17 Integral and Series Representations of the Dirac Delta
28: 6.18 Methods of Computation
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►For small or moderate values of and , the expansion in power series (§6.6) or in series of spherical Bessel functions (§6.10(ii)) can be used.
…However, this problem is less severe for the series of spherical Bessel functions because of their more rapid rate of convergence, and also (except in the case of (6.10.6)) absence of cancellation when ().
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29: 18.34 Bessel Polynomials
30: Bibliography L
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Numerical evaluation of integrals containing a spherical Bessel function by product integration.
J. Math. Phys. 22 (7), pp. 1399–1413.
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