Geodesic
On integration contour deformation in a Laplace transform inversion formula
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 7, pp. 1118-1124

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Laplace transform inversion formulas are proposed that rely on integration contour deformation in the Riemann–Mellin inversion formula followed by applying quadrature formulas and deriving error estimates. 
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     author = {A. V. Lebedeva and V. M. Ryabov},
     title = {On integration contour deformation in a {Laplace} transform inversion formula},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     volume = {55},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_7_a2/}
}
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A. V. Lebedeva; V. M. Ryabov. On integration contour deformation in a Laplace transform inversion formula. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 7, pp. 1118-1124. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_7_a2/