Laplace transform evaluations by Ramanujan's integral formula
1997
Application of the decomposition method allows a convenient, accurate procedure to calculate the Laplace transforms neither expressible in terms of elementary function nor adequately tabulated. It is shown that the result leads to an excellent agreement with the actual solution of the problem as illustrated by some specific examples.
Keywords:
- Calculus
- Green's function for the three-variable Laplace equation
- Mathematical analysis
- Laplace expansion
- Post's inversion formula
- Laplace transform applied to differential equations
- Laplace–Stieltjes transform
- Inverse Laplace transform
- Laplace's method
- Mathematics
- Two-sided Laplace transform
- Mellin transform
- Laplace transform
- Correction
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