A note on the use of Laguerre polynomials in the inversion of Laplace transforms

DOI10.1007/BF02808584zbMath0313.65121MaRDI QIDQ4072790

Hilary L. Seal

Publication date: 1975

Published in: Blätter der DGVFM (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Computation of special functions and constants, construction of tables (65D20) Laplace transform (44A10)

Related Items (5)

COMPARISON OF APPROXIMATIONS FOR COMPOUND POISSON PROCESSES ⋮ Sparse Bayesian learning for the Laplace transform inversion in dynamic light scattering ⋮ Calculating multivariate ruin probabilities via Gaver-Stehfest inversion technique ⋮ Concerning the use of Laguerre Polynomials for Inversion of Laplace Transforms in Risk Theory ⋮ Ultimate Ruin Probabilities for Generalized Gamma-Convolutions Claim Sizes

Cites Work

• The special functions and their approximations. Vol. I, II
• Two systems of polynomials for the solution of Laplace's integral equation
• A new method of inversion of the Laplace transform
• Eine neue Methode zur Berechnung der Ruinwahrscheinlichkeit mittels Laguerre-Entwicklung
• Numerical Inversion of Laplace Transforms Using Laguerre Functions
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