Kontorovich–Lebedev transform
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1: 10.74 Methods of Computation
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Kontorovich–Lebedev Transform
…2: 10.43 Integrals
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§10.43(v) Kontorovich–Lebedev Transform
►The Kontorovich–Lebedev transform of a function is defined as ►
10.43.30
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10.43.31
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►For collections of the Kontorovich–Lebedev transform, see Erdélyi et al. (1954b, Chapter 12), Prudnikov et al. (1986b, pp. 404–412), and Oberhettinger (1972, Chapter 5).
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3: Bibliography N
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On an asymptotic expansion of the Kontorovich-Lebedev transform.
Applicable Anal. 39 (4), pp. 249–263.
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On an asymptotic expansion of the Kontorovich-Lebedev transform.
Methods Appl. Anal. 3 (1), pp. 98–108.
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4: Bibliography E
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The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature.
J. Comput. Appl. Math. 61 (1), pp. 43–72.
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5: Bibliography W
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Asymptotic expansions of the Kontorovich-Lebedev transform.
Appl. Anal. 12 (3), pp. 161–172.
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6: 1.14 Integral Transforms
§1.14 Integral Transforms
…7: 18.39 Applications in the Physical Sciences
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►The corresponding eigenfunction transform is a generalization of the Kontorovich–Lebedev transform §10.43(v), see Faraut (1982, §IV).
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