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An algorithm for generating some inverse Laplace transforms of exponential form. (English) Zbl 0313.44001


MSC:

44A10 Laplace transform
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
Full Text: DOI

References:

[1] B. A. Boley andR. B. Hetnarski,Propagation of Discontinuities in Coupled Thermoelastic Problems, J. Appl. Mech.35, No. 3, Trans. ASME90, Ser. E, Sept. 1968, pp. 489–494. · Zbl 0159.56503
[2] R. B. Hetnarski,Solution of the Coupled Problem of Thermoelasticity in the Form of Series of functions, Arch. Mechaniki Stosowanej16, 919–941, 1964. · Zbl 0134.44204
[3] P. B. Grimado,The Transient Temperature Field in a Composite Semi-Space Resulting from an Incident Heat Flux, Quart. Appl. Math.31, 379–393, 1974. · Zbl 0276.35055
[4] A. Erdélyi (editor),Bateman Manuscript Project, Tables of Integral Transforms Vol. 1, McGraw-Hill Book Co., New York 1954. · Zbl 0055.36401
[5] V. A. Ditkin andA. P. Prudnikov,Reference Book on Operational Calculus (in Russian), Moscow 1965. · Zbl 0126.31402
[6] R. B. Hetnarski,On Inverting the Laplace Transforms Connected With the Error Function, Zastosowania Matematyki7, 399–405, 1964. · Zbl 0173.40902
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