Inverse Laplace Transform of Some Rational Functions

• Authors: R. Wituła
• Languages of publication: EN

Abstracts

EN

In this paper we propose a formula of recurrent nature for calculating the inverse Laplace transforms of some rational functions. The procedure and formulae enabling to determine the values of coefficients of obtained series are presented. Proposed procedure does not require any partial fraction decomposition. Moreover, it is proved that the radius of convergence of the received series (for the respective objective function) is equal to infinity. The proposed formula can find applications in wave optics and acoustics.

Keywords

EN

02.30.Zz; 42.30.Lr; 42.25.-p; 42.65.Wi

Discipline

• 42.65.Wi: Nonlinear waveguides
• 42.30.Lr: Modulation and optical transfer functions
• 02.30.Zz: Inverse problems
• 42.25.-p: Wave optics

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 5
• Pages: 966-968

Dates

published

2012-11

Contributors

author

R. Wituła

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.122.966