Numerical inversion of the Laplace transform using Laguerre polynomials

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Numerical inversion of the Laplace transform using Laguerre polynomials

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A method is given for the evaluation of the coefficients in the expansion in terms of Laguerre polynomials of a function f(t) whose Laplace transform is a rational fraction F(p).

References

    1. 1)
      • R. Génin , L.C. Calvez . Sur quelques propriétés de la transformation de Laguerre. CR Acad. Sci.
    2. 2)
      • R. Génin . Note on the Ztransform. Electron. Lett. , 188 - 189
    3. 3)
      • F. Triconi . Transformazione di Laplace e polinomi di Laguerre. RC. Accad. Naz. Lincei , 232 - 239
    4. 4)
      • W.T. Weeks . Numerical inversion of Laplace transform using Laguerre functions. J. Assoc. Comp. Mach. , 419 - 426
    5. 5)
      • A. Papoulis . A new method of inversion of the Laplace transform. Quart. Appl. Math. , 405 - 414
    6. 6)
      • McCully, J.C.: `The operational calculus of the Laguerre transform', 1957, , Michigan University thesis.
    7. 7)
      • J. Valand . Calculation of transient response. Electron. Lett.
    8. 8)
      • E.E. Ward . The calculation of transients in dynamical systems. Proc.Cambridge Phil.Soc. , 49 - 59
    9. 9)
      • G. Weiss . On the expansion of a function in terms of Laguerre polynomials. IRE. Trans.
    10. 10)
      • P.R. Aigrain , E.M. Williams . Design of optimum transient response amplifiers. Proc. Inst. Radio Engrs. , 837 - 879
    11. 11)
      • M. Picone . Sulla transformata di Laplace. RC Accad. Naz. Lincei , 306 - 313
    12. 12)
      • D.A. Pierre . A tabular algorithm for Z transform inversion. Control Engng. , 110 - 111
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