Question

Compute $\int_0^{a_1} \int_v^{a_2} \exp(-\frac{1}{2}u) \exp(-bv ) I_0(c \sqrt{ v \, u}) \,du \,dv$

score 246 · Answer 1 · 2016-02-15 18:09:15

246

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Compute $\int_0^{a_1} \int_v^{a_2} \exp(-\frac{1}{2}u) \exp(-bv ) I_0(c \sqrt{ v \, u}) \,du \,dv$

Published on 15 Feb 2016 - 18:09

score 132 · Answer 2 · 2016-02-21 13:22:38

132

Views

Expansion of some singular kernel with the help of Bessel and Neumann spherical harmonic functions

Published on 21 Feb 2016 - 13:22

score 1.1k · Answer 3 · 2026-03-26 19:00:59

1.1k

Views

Inverse Laplace Transform of $e^{\frac{1}{s}-s}$

Published on 26 Mar 2026 - 19:00

score 438 · Answer 4 · 2016-03-01 13:32:06

438

Views

Integral representation of Bessel function $K_v(y) = \frac{1}{2} \int_{0}^{\infty} t^{v-1} \text{exp}(-\frac{1}{2}y(t+t^{-1}))\text{d}t$.

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score 457 · Answer 5 · 2016-03-02 02:05:47

457

Views

Limit of the spherical Bessel function of the second kind

Published on 02 Mar 2016 - 2:05

score 434 · Answer 6 · 2026-03-26 07:43:11

434

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Integrate $\int_{-\infty}^\infty\frac{e^{-ik\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}}dx$

Published on 26 Mar 2026 - 7:43

score 221 · Answer 7 · 2016-03-03 02:44:20

221

Views

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Published on 03 Mar 2016 - 2:44

score 774 · Answer 8 · 2016-03-03 13:58:09

774

Views

Technical challenge: Limit of von-Mises distribution approximates normal. How to take the limit?

Published on 03 Mar 2016 - 13:58

score 168 · Answer 9 · 2016-03-05 11:49:37

168

Views

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Published on 05 Mar 2016 - 11:49

score 314 · Answer 10 · 2026-03-28 09:43:46

314

Views

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score 106 · Answer 11 · 2016-03-11 19:00:22

106

Views

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Published on 11 Mar 2016 - 19:00

score 1.4k · Answer 12 · 2016-03-12 08:30:59

1.4k

Views

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Published on 12 Mar 2016 - 8:30

score 49 · Answer 13 · 2016-03-13 04:48:35

49

Views

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score 90 · Answer 14 · 2016-03-15 19:31:28

90

Views

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score 568 · Answer 15 · 2016-03-17 17:13:12

568

Views

Differentiability class of Matern function (based on Modified Bessel Function of second kind)

Published on 17 Mar 2016 - 17:13

List Question

Compute $\int_0^{a_1} \int_v^{a_2} \exp(-\frac{1}{2}u) \exp(-bv ) I_0(c \sqrt{ v \, u}) \,du \,dv$

Expansion of some singular kernel with the help of Bessel and Neumann spherical harmonic functions

Inverse Laplace Transform of $e^{\frac{1}{s}-s}$

Integral representation of Bessel function $K_v(y) = \frac{1}{2} \int_{0}^{\infty} t^{v-1} \text{exp}(-\frac{1}{2}y(t+t^{-1}))\text{d}t$.

Limit of the spherical Bessel function of the second kind

Integrate $\int_{-\infty}^\infty\frac{e^{-ik\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}}dx$

Bessel Function and roots

Technical challenge: Limit of von-Mises distribution approximates normal. How to take the limit?

Integral involving Bessel function $J_0$.

Program to create graph with modified bessel function

What is the gamma term in the modified Bessel function of second kind of Order Zero?

Solving Bessel's equation by Laplace transform

Asymptotic limit of the following integral?

Transform complex exponential integral to real

Differentiability class of Matern function (based on Modified Bessel Function of second kind)

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