Laplace transforms
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41—45 of 45 matching pages
41: 14.31 Other Applications
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§14.31(ii) Conical Functions
…42: 14.19 Toroidal (or Ring) Functions
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►This form of the differential equation arises when Laplace’s equation is transformed into toroidal coordinates
, which are related to Cartesian coordinates by
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43: Bibliography N
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On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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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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An explicit formula for the coefficients in Laplace’s method.
Constr. Approx. 38 (3), pp. 471–487.
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An extension of Laplace’s method.
Constr. Approx. 51 (2), pp. 247–272.
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44: Bibliography B
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Transformations of generalized hypergeometric series.
Proc. London Math. Soc. (2) 29 (2), pp. 495–502.
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Some Geometric Aspects of Wave Motion: Wavefront Dislocations, Diffraction Catastrophes, Diffractals.
In Geometry of the Laplace Operator (Proc. Sympos. Pure Math.,
Univ. Hawaii, Honolulu, Hawaii, 1979),
Vol. 36, pp. 13–28.
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From Klein to Painlevé via Fourier, Laplace and Jimbo.
Proc. London Math. Soc. (3) 90 (1), pp. 167–208.
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Laplace approximations for hypergeometric functions with matrix argument.
Ann. Statist. 30 (4), pp. 1155–1177.
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Laplace approximation for Bessel functions of matrix argument.
J. Comput. Appl. Math. 155 (2), pp. 359–382.
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45: Bibliography L
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Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions.
Comput. Phys. Comm. 99 (2-3), pp. 297–306.
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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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Asymptotics of the first Appell function with large parameters II.
Integral Transforms Spec. Funct. 24 (12), pp. 982–999.
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Asymptotics of the first Appell function with large parameters.
Integral Transforms Spec. Funct. 24 (9), pp. 715–733.
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Bessel transforms and rational extrapolation.
Numer. Math. 47 (1), pp. 1–14.
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