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Inverse Laplace Transform of Some Rational Functions

100%
Wituła R.
Acta Physica Polonica A
|
2012
|
vol. 122
|
issue 5
966-968
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.
2
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Fibonacci and Lucas Numbers for Real Indices and Some Applications

100%
Wituła R.
Acta Physica Polonica A
|
2011
|
vol. 120
|
issue 4
755-758
EN
In this paper the notion of the Fibonacci and Lucas numbers is extended onto real indices. Next, these new numbers are used for calculating real powers of certain matrices. The presented method to the extension of elements of linear recurrence sequence to real indices ought to find practical application in wide understanding metrology and medical diagnostics.
3
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An analytical technique for solving general linear integral equations of the second kind and its application in analysis of flash lamp control circuit

51%
Hetmaniok E., Słota D., Trawiński T., Wituła R.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2014
|
issue 3
4
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SAW sensor for detection of hydrocarbons. Numerical analysis and experimental results

51%
Hejczyk T., Urbańczyk M., Wituła R., Maciak E.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2012
|
issue 3
5
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An analytical method for solving the two-phase inverse Stefan problem

51%
Hetmaniok E., Słota D., Wituła R., Zielonka A.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2015
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issue 3
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