Bessel integral
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1: 10.32 Integral Representations
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§10.32(i) Integrals along the Real Line
… ►Basset’s Integral
… ►§10.32(ii) Contour Integrals
… ►§10.32(iii) Products
… ►§10.32(iv) Compendia
…2: 10.43 Integrals
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§10.43(i) Indefinite Integrals
… ►§10.43(iii) Fractional Integrals
… ►§10.43(iv) Integrals over the Interval ()
… ► … ► …3: 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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4: 10.1 Special Notation
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►For older notations see British Association for the Advancement of Science (1937, pp. xix–xx) and Watson (1944, Chapters 1–3).
5: 10.9 Integral Representations
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Bessel’s Integral
… ►Neumann’s Integral
… ►Poisson’s and Related Integrals
… ►§10.9(ii) Contour Integrals
… ►Schläfli’s Integral
…6: 6.10 Other Series Expansions
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§6.10(ii) Expansions in Series of Spherical Bessel Functions
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6.10.4
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6.10.5
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6.10.6
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6.10.8
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7: 10.76 Approximations
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§10.76(ii) Bessel Functions, Hankel Functions, and Modified Bessel Functions
…8: 10.74 Methods of Computation
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►For evaluation of the Hankel functions and for complex values of and based on the integral representations (10.9.18) see Remenets (1973).
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§10.74(vii) Integrals
… ►Spherical Bessel Transform
… ►For infinite integrals involving products of Bessel functions of the first kind, see Linz and Kropp (1973), Gabutti (1980), Ikonomou et al. (1995), Lucas (1995), and Van Deun and Cools (2008). For infinite integrals involving products of Bessel functions of the first and second kinds, see Ratnanather et al. (2014). …9: 10.22 Integrals
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