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1: 16.20 Integrals and Series
Extensive lists of Laplace transforms and inverse Laplace transforms of the Meijer G -function are given in Prudnikov et al. (1992a, §3.40) and Prudnikov et al. (1992b, §3.38). …
2: 19.13 Integrals of Elliptic Integrals
For direct and inverse Laplace transforms for the complete elliptic integrals K ( k ) , E ( k ) , and D ( k ) see Prudnikov et al. (1992a, §3.31) and Prudnikov et al. (1992b, §§3.29 and 4.3.33), respectively.
3: 2.4 Contour Integrals
For examples and extensions (including uniformity and loop integrals) see Olver (1997b, Chapter 4), Wong (1989, Chapter 1), and Temme (1985).
§2.4(ii) Inverse Laplace Transforms
2.4.7 q ( t ) - f ( t ) = e σ t 2 π lim η - η η e i t τ ( Q ( σ + i τ ) - F ( σ + i τ ) ) d τ .
For examples see Olver (1997b, pp. 315–320). …
4: 16.15 Integral Representations and Integrals
For inverse Laplace transforms of Appell functions see Prudnikov et al. (1992b, §3.40).
5: 16.5 Integral Representations and Integrals
Laplace transforms and inverse Laplace transforms of generalized hypergeometric functions are given in Prudnikov et al. (1992a, §3.38) and Prudnikov et al. (1992b, §3.36). …
6: 15.14 Integrals
Inverse Laplace transforms of hypergeometric functions are given in Erdélyi et al. (1954a, §5.19), Oberhettinger and Badii (1973, §2.18), and Prudnikov et al. (1992b, §3.35). …
7: 24.13 Integrals
For Laplace and inverse Laplace transforms see Prudnikov et al. (1992a, §§3.28.1–3.28.2) and Prudnikov et al. (1992b, §§3.26.1–3.26.2). …
8: 3.11 Approximation Techniques
Laplace Transform Inversion
Numerical inversion of the Laplace transform1.14(iii)) …
9: 35.2 Laplace Transform
Inversion Formula
10: 10.71 Integrals
For direct and inverse Laplace transforms of Kelvin functions see Prudnikov et al. (1992a, §3.19) and Prudnikov et al. (1992b, §3.19). …