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A method for finding the asymptotic behavior of a function from its Laplace transformFroese Fischer, Charlotte January 1954 (has links)
In many practical problems, particularly in circuit analysis, the Laplace Transform method is used to solve linear differential equations. When only the asymptotic behaviour at infinity of the solution is of interest, it is not necessary to find the exact solution. We have developed a method for finding the asymptotic behaviour of a function directly from its Laplace transform. The method is a generalization of one given by Doetsch [5,6].
The behaviour of a function F(t) for large t depends upon the singularities of its transform f(s) on the line to the right of which f(s) is regular. The asymptotic behaviour of F(t) is expressed in terms of comparison functions G(k)(t) whose transforms have the same singularities as f(s). We have considered singularities such as L/s(v+l), (ℓns) n/s (v+1), l/s(v+1)ℓns, e(-k/s) / s(v+1), (ℓns)ne(-k/s) / s(v+1), or e(-k/s) / s(v+1) ℓns. The first two have been studied extensively by Doetsch. / Science, Faculty of / Mathematics, Department of / Graduate
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Some applications of asymptotic approximation廖明哲, Liu, Ming-chit. January 1969 (has links)
published_or_final_version / Mathematics / Master / Master of Science
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Asymptotics of general orthogonal polynomials for measures on the unit circle and [-1,1].Damelin, Steven Benjamin 20 February 2015 (has links)
No description available.
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Some applications of asymptotic approximation.Liu, Ming-chit. January 1969 (has links)
Thesis (M. Sc.)--University of Hong Kong, 1969. / Typewritten.
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An extension of the method of Haar for determining the asymptotic behavior of integrals of the inverse Laplace transform type /Reudink, Douglas Otto John. January 1965 (has links)
Thesis (Ph. D.)--Oregon State University, 1965. / Typescript. Includes bibliographical references (leaves 57-59). Also available on the World Wide Web.
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On the asymptotic solutions of linear differential equationsLove, Clyde E. January 1900 (has links)
Thesis (Ph. D.)--University of Michigan, 1913. / "Reprinted from American journal of mathematics, vol. XXXVI, no. 2, April, 1914."
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Simplification of certain turning point problems for systems of order fourGoetschel, Roy, January 1966 (has links)
Thesis (Ph. D.)--University of Wisconsin, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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Asymptomic behavior of the eigenvalues of generalized Toeplitz matrices associated with Jacobi polynomialsBaxley, John Virgil, January 1967 (has links)
Thesis (Ph. D.)--University of Wisconsin, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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Some asymptotic approximation theorems in real and complex analysis廖明哲, Liu, Ming-chit. January 1973 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy
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Some asymptotic approximation theorems in real and complex analysis.Liu, Ming-chit. January 1973 (has links)
Thesis--Ph. D., University of Hong Kong. / Mimeographed.
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