convolution product
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9 matching pages
1: 27.5 Inversion Formulas
2: 30.10 Series and Integrals
3: 2.6 Distributional Methods
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►We now derive an asymptotic expansion of for large positive values of .
►In terms of the convolution product
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2.6.34
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4: Bibliography C
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Product formulas and convolutions for angular and radial spheroidal wave functions.
Trans. Amer. Math. Soc. 338 (2), pp. 695–710.
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5: 2.5 Mellin Transform Methods
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►with .
►One of the two convolution integrals associated with the Mellin transform is of the form
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►In the half-plane , the product
has a pole of order two at each positive integer, and
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2.5.29
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2.5.31
for .
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6: 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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Error bounds for asymptotic expansions of Laplace convolutions.
SIAM J. Math. Anal. 25 (6), pp. 1537–1553.
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A note on the computation of integrals involving products of trigonometric and Bessel functions.
Math. Comp. 27 (124), pp. 871–872.
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Evaluating infinite integrals involving products of Bessel functions of arbitrary order.
J. Comput. Appl. Math. 64 (3), pp. 269–282.
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7: 10.22 Integrals
8: 18.17 Integrals
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§18.17(ii) Integral Representations for Products
►Ultraspherical
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… ►For addition formulas corresponding to (18.17.5) and (18.17.6) see (18.18.8) and (18.18.9), respectively. …9: Bibliography G
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Dirichlet convolution of cotangent numbers and relative class number formulas.
Monatsh. Math. 110 (3-4), pp. 231–256.
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Recurrence relations for cross-products of Bessel functions.
Quart. J. Mech. Appl. Math. 2 (1), pp. 72–74.
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On the exceptional zeros of cross-products of derivatives of spherical Bessel functions.
Z. Angew. Math. Phys. 36 (3), pp. 491–494.
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Table of Integrals, Series, and Products.
6th edition, Academic Press Inc., San Diego, CA.
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Riccati equations and convolution formulae for functions of Rayleigh type.
J. Phys. A 33 (7), pp. 1363–1368.
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