List questions from laplace-method

Published on 27 Feb 2017 - 1:41

56

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Integral expansions

Published on 17 Mar 2017 - 1:55

68

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Asymptotic behavior of a Fourier integral

Published on 26 Feb 2023 - 22:25

173

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Using Integration by Parts to find leading order approximation of exponential integral

Published on 27 Feb 2023 - 14:41

413

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Leading order asymptotic behaviour of the integral $\int^1_0 \cos(xt^3)\tan(t)dt$

Published on 02 Mar 2023 - 18:58

296

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Laplace's method: multivariate case with error term

Published on 21 Apr 2023 - 12:30

84

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How to approximate this integral

Published on 28 Apr 2023 - 22:58

200

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Leading-Order Asymptotic Approximation of $\int^1_0 e^{-xt^2}\sin (t) dt$ as $x \rightarrow \infty$

Published on 13 May 2023 - 10:25

163

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Asymptotic equality of an integral

Published on 24 Aug 2023 - 6:24

32

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Is there a modification of Laplace's method for obtaining the asymptotic behaviour of Riemann-Stieltjes integrals?

Published on 25 Aug 2023 - 9:24

119

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Laplace's method on $\int_0^\infty x^m\exp \left( - \frac{(x - \mu)^2}{2 \sigma^2} \right)\ dx$

Published on 10 Sep 2023 - 15:22

137

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Asymptotic expansion of an inverse Fourier integral

Published on 21 Oct 2023 - 18:52

78

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to find inverse laplace transform of $f(s)=s\ln\left|\frac s{\sqrt{s^2+1}}\right|$

Published on 19 Nov 2023 - 18:25

75

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Laplace’s method for asymptotic series expansion

Published on 25 Mar 2026 - 8:07

147

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Explicit bound on $\int_0^\infty t^{-(u+1/u)} du$?

Published on 25 Dec 2023 - 4:52

List Question

laplace and asymptotic question

Integral expansions

Asymptotic behavior of a Fourier integral

Using Integration by Parts to find leading order approximation of exponential integral

Leading order asymptotic behaviour of the integral $\int^1_0 \cos(xt^3)\tan(t)dt$

Laplace's method: multivariate case with error term

How to approximate this integral

Leading-Order Asymptotic Approximation of $\int^1_0 e^{-xt^2}\sin (t) dt$ as $x \rightarrow \infty$

Asymptotic equality of an integral

Is there a modification of Laplace's method for obtaining the asymptotic behaviour of Riemann-Stieltjes integrals?

Laplace's method on $\int_0^\infty x^m\exp \left( - \frac{(x - \mu)^2}{2 \sigma^2} \right)\ dx$

Asymptotic expansion of an inverse Fourier integral

to find inverse laplace transform of $f(s)=s\ln\left|\frac s{\sqrt{s^2+1}}\right|$

Laplace’s method for asymptotic series expansion

Explicit bound on $\int_0^\infty t^{-(u+1/u)} du$?

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