[PDF][PDF] Around Widder's characterization of the Laplace transform of an element of
J Kisyński�- Annales Polonici Mathematici, 2000 - bibliotekanauki.pl
… If κ ≡ 1 and E = R then Theorem 5.1 reduces to DV Widder’s characterization of the Laplace
transform of a function in L∞(R+). Some applications of Theorem 5.1 to the theory of one-…
transform of a function in L∞(R+). Some applications of Theorem 5.1 to the theory of one-…
[BOOK][B] Tables of Laplace transforms
F Oberhettinger, L Badii - 2012 - books.google.com
… This material represents a collection of integrals of the Laplace- and inverse Laplace
Transform type. The usefulness of this kind of information as a tool in various branches of …
Transform type. The usefulness of this kind of information as a tool in various branches of …
Analytical and numerical inversion of the Laplace–Carson transform by a differential method
C Donolato�- Computer Physics Communications, 2002 - Elsevier
… For the inversion of a Laplace transform, the present formula is proved to be equivalent to
the Post–Widder expression. 2002 Elsevier Science BV All rights reserved. …
the Post–Widder expression. 2002 Elsevier Science BV All rights reserved. …
The ascendancy of the Laplace transform and how it came about
MAB Deakin�- Archive for History of Exact Sciences, 1992 - Springer
… the modern Laplace transform had all but displaced the older Laplace transformation. This
… This followed an earlier suggestion made by WIDDER himself [133]. It is a route not in fact …
… This followed an earlier suggestion made by WIDDER himself [133]. It is a route not in fact …
The airy transform
DV Widder�- The American Mathematical Monthly, 1979 - Taylor & Francis
… ) into two unilateral Laplace transforms, one convergent in a right half-plane, the other in a
left half-plane. We discuss here an interesting case in which one of these transforms extends …
left half-plane. We discuss here an interesting case in which one of these transforms extends …
[BOOK][B] Asymptotic approximations of integrals
R Wong - 2001 - SIAM
… Asymptotic expansion of integral transforms with oscillatory kernels: A generalization of the
… Asymptotic expansion of a class of integral transforms via Mellin transforms. Arch. Rational …
… Asymptotic expansion of a class of integral transforms via Mellin transforms. Arch. Rational …
Algorithms for parameter selection in the Weeks method for inverting the Laplace transform
JAC Weideman�- SIAM Journal on Scientific Computing, 1999 - SIAM
… Numerical methods for the inversion of the Laplace transform (1.1) naturally fall into two
classes: the methods that make use of real values of the transform only, and the methods that …
classes: the methods that make use of real values of the transform only, and the methods that …
Complex variable and regularization methods of inversion of the Laplace transform
DD Ang, J Lund, F Stenger�- Mathematics of computation, 1989 - ams.org
… While the methods of the present paper also cannot be used to invert every Laplace transform,
we shall nevertheless describe here a simple procedure for altering the original given g to …
we shall nevertheless describe here a simple procedure for altering the original given g to …
[BOOK][B] Integrals and series
AB Prudnikov - 2018 - taylorfrancis.com
… The Laplace transformation is used extensively in various problems of pure and … Laplace
transformation lies in the possibility of compiling tables of direct and inverse Laplace transforms …
transformation lies in the possibility of compiling tables of direct and inverse Laplace transforms …
[PDF][PDF] SOME REMARKS ON INTEGRAL-TRANSFORM AND OPERATOR METHODS
F CS�KI�- Periodica Polytechnica Electrical Engineering�…, 1977 - pp.bme.hu
… two-sided Laplace transform. The next subject is the one-sided Laplace transform. Transfer
functions and frequency functions are given. Various inverse transformation procedures are …
functions and frequency functions are given. Various inverse transformation procedures are …