On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms.
Masjed-Jamei, Mohammad, Dehghan, Mehdi (2005)
Mathematical Problems in Engineering
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Displaying similar documents to “Polynomial ultradistributions: differentiation and Laplace transformation”
On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms.
A real inversion formula for the Kratzel's generalized Laplace transform.
Jorge J. Betancor, Javier A. Barrios (1991)
Extracta Mathematicae
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The Laplace transform on a Boehmian space
V. Karunakaran, C. Prasanna Devi (2010)
Annales Polonici Mathematici
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In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.
Substitution relations for Laplace transformations.
Buschman, R.G. (1979)
International Journal of Mathematics and Mathematical Sciences
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Bilinear formulas in the theory of the transformation of Laplace
Einar Hille (1939)
Compositio Mathematica
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Analytical investigations of the Sudumu transform and applications to integral production equations.
Belgacem, Fethi bin Muhammed, Karaballi, Ahmed Abdullatif, Kalla, Shyam L. (2003)
Mathematical Problems in Engineering
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Certain properties of Meijer-Laplace transform
V. M. Bhise (1967)
Compositio Mathematica
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Laplace transform of Laplace hyperfunctions and its applications.
Stanković, Bogoljub (2001)
Novi Sad Journal of Mathematics
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A characterization of the generalized Meijer transform.
Deeba, E.Y., Koh, E.L. (1992)
International Journal of Mathematics and Mathematical Sciences
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A Parseval-Goldstein type theorem on the Widder potential transform and its applications.
Yürekli, O., Sadek, I. (1991)
International Journal of Mathematics and Mathematical Sciences
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A complex inversion theorem for a generalization of Laplace transform.
J. M. C. Joshi (1963)
Collectanea Mathematica
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The Numerical Performance of Tricomi's Formula for Inverting the Laplace Transform.
Bruno Gabutti, Paolo Lepora (1987)
Numerische Mathematik
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Solving a class of multivariate integration problems via Laplace techniques
Jean B. Lasserre, Eduardo S. Zeron (2001)
Applicationes Mathematicae
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We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that...