Titlebook: Asymptotic Analysis; J. D. Murray Textbook 1984 Springer Science+Business Media New York 1984 Approximation.Asymptotische Darstellung.Diff

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CHASM

Foundations of Differential Calculusean one that is given in terms of functions whose properties are known or tabulated: Bessel functions, trigonometric functions, Legendre functions, exponentials, and so on are typical examples. Such a solution may not be particularly useful, however, from either a computational or analytical point o

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Foundations of Differential Calculuspansions are sought as λ → ∞. It should be said here that if .(.) and .(.) can be suitably analytically continued off the real axis then the class of integrals (4.1) can be treated, as discussed briefly below, by the method of steepest descents in §3.1. However, the original method of stationary pha

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Foundations of Differential Calculusvolves, in general, the evaluation of integrals of the form.where . is real, .(.) is some given kernel, a function of two variables z and ., C is a given finite or infinite contour in the complex z-plane, and .(.) is known, or at least its singularity properties are given. Here the function .(.) is

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https://doi.org/10.1007/978-1-4612-1122-8Approximation; Asymptotische Darstellung; Differentialgleichung; differential equation; integral; perturb

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978-1-4612-7015-7Springer Science+Business Media New York 1984