Question

Integrating Probability Density Function for Independent Gaussian Variables with Non-Zero Means

score 34 · Answer 1 · 2026-03-29 21:51:45

34

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Integrating Probability Density Function for Independent Gaussian Variables with Non-Zero Means

Published on 29 Mar 2026 - 21:51

score 88 · Answer 2 · 2026-03-30 10:56:52

88

Views

Convert the Bessel equation $x^{2}y''+xy'+(\lambda x^{2}-\alpha^{2})y=0$ to integral equation.

Published on 30 Mar 2026 - 10:56

score 224 · Answer 3 · 2026-03-27 18:09:33

224

Views

Steady-state heat conduction in a cylinder with discontinuity in thermal conductivity

Published on 27 Mar 2026 - 18:09

score 257 · Answer 4 · 2026-02-23 17:44:15

257

Views

Product of correlated random variables and its transformation

Published on 23 Feb 2026 - 17:44

score 322 · Answer 5 · 2022-03-01 10:41:15

322

Views

Integral of the product of two Bessel functions, exponential and inverse function

Published on 01 Mar 2022 - 10:41

score 162 · Answer 6 · 2022-03-03 09:03:33

162

Views

Convolution & Bessel function

Published on 03 Mar 2022 - 9:03

score 319 · Answer 7 · 2022-03-06 22:44:04

319

Views

Prove that: $j_0(\sqrt{x^2-2xt})=\sum_{n=0}^{\infty}\dfrac{t^n}{n!}j_n(x)$ (Bessel Functions)

Published on 06 Mar 2022 - 22:44

score 111 · Answer 8 · 2022-03-08 08:22:49

111

Views

Integral of second modified Bessel function

Published on 08 Mar 2022 - 8:22

score 35 · Answer 9 · 2022-03-09 18:04:59

35

Views

Equation Containing a Series (Perhaps with Explicit Form)

Published on 09 Mar 2022 - 18:04

score 169 · Answer 10 · 2026-03-28 06:00:33

169

Views

Proving $\frac{\pi}{2}=\sum^\infty_{l=0} \frac{(-1)^l}{2l+1}\big(P_{2l}(x)+\text{sgn}(x)P_{2l+1}(x)\big)$

Published on 28 Mar 2026 - 6:00

score 112 · Answer 11 · 2022-03-12 03:11:00

112

Views

Integral of combination of squared bessel functions, exponential and power

Published on 12 Mar 2022 - 3:11

score 213 · Answer 12 · 2022-03-14 02:56:16

213

Views

Series involving modified Bessel functions of half integer order

Published on 14 Mar 2022 - 2:56

score 214 · Answer 13 · 2026-03-30 20:44:15

214

Views

Laplace transforms of products of modified Bessel Functions

Published on 30 Mar 2026 - 20:44

score 60 · Answer 14 · 2022-03-21 18:59:52

60

Views

Integration of asymptotic Bessel function of first kind

Published on 21 Mar 2022 - 18:59

score 38 · Answer 15 · 2022-03-23 11:52:43

38

Views

I need to understand whether the following two Bessel function identities are equal? I have found both of them on the internet.

Published on 23 Mar 2022 - 11:52

List Question

Integrating Probability Density Function for Independent Gaussian Variables with Non-Zero Means

Convert the Bessel equation $x^{2}y''+xy'+(\lambda x^{2}-\alpha^{2})y=0$ to integral equation.

Steady-state heat conduction in a cylinder with discontinuity in thermal conductivity

Product of correlated random variables and its transformation

Integral of the product of two Bessel functions, exponential and inverse function

Convolution & Bessel function

Prove that: $j_0(\sqrt{x^2-2xt})=\sum_{n=0}^{\infty}\dfrac{t^n}{n!}j_n(x)$ (Bessel Functions)

Integral of second modified Bessel function

Equation Containing a Series (Perhaps with Explicit Form)

Proving $\frac{\pi}{2}=\sum^\infty_{l=0} \frac{(-1)^l}{2l+1}\big(P_{2l}(x)+\text{sgn}(x)P_{2l+1}(x)\big)$

Integral of combination of squared bessel functions, exponential and power

Series involving modified Bessel functions of half integer order

Laplace transforms of products of modified Bessel Functions

Integration of asymptotic Bessel function of first kind

I need to understand whether the following two Bessel function identities are equal? I have found both of them on the internet.

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