zbMATH — the first resource for mathematics

Some inverse Laplace transforms of exponential form. (English) Zbl 0644.44002
The authors establish an algorithm for finding inverse Laplace transforms of exponential form for two classes of functions and use them to derive a set of new formulae which are presented as a table of Laplace transform pairs. These formulae are useful in solving certain problems of fluid mechanics.
Reviewer: S.D.Bajpai

44A10 Laplace transform
44A20 Integral transforms of special functions
Full Text: DOI
[1] R. B. Hetnarski,On inverting the Laplace transforms connected with the error function, Zastowania Matem7, 399-405 (1964). · Zbl 0173.40902
[2] R. B. Hetnarski,An algorithm for generating some inverse Laplace transforms of exponential form. ZAMP26, 249-254 (1975). · Zbl 0313.44001 · doi:10.1007/BF01591514
[3] P. B. Gridamo,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] P. K. Kulshrestha and P. Puri,An exact solution of hydromagnetic rotating flow. Proc. 11th Midwestern Mech. Conf., Developments in Mech.5, 265-271 (1969).
[5] P. Puri and P. K. Kulshrestha,Unsteady hydromagnetic boundary layer in a rotating medium. Trans. ASME, J. Appl. Mech.98, 205-208 (1976). · Zbl 0339.76065 · doi:10.1115/1.3423809
[6] P. Puri and P. K. Kulshrestha,Rotating flow of non-Newtonian fluids. Applicable Anal.4, 131-140, (1974). · Zbl 0303.76057 · doi:10.1080/00036817408839087
[7] J. N. Tokis,Unsteady magnetohydrodynamic free-convection flows in a rotating flows. Astrophys. Space Sc.119, 305-313 (1986). · Zbl 0591.76150
[8] A. Erdélyi et al.,Tables of Integral Transforms. Vol. I, McGraw-Hill Book Co., New York 1954. · Zbl 0055.36401
[9] F. Oberhettinger and L. Badu,Tables of Laplace Transforms. Springer-Verlag, New York 1973. · Zbl 0285.65079
[10] G. E. Roberts and H. Kaufman,Tables of Laplace Transforms. W. B. Saunders Co., Philadelphia 1966. · Zbl 0137.08901
[11] P. Puri,Impulsive motion of a flat plate in a Rivlin-Ericksen fluid. Rheol. Acta23, 451-453 (1984). · doi:10.1007/BF01329198
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.