Question

Calculate $\int_{-\infty}^{+\infty} \exp\{-x^{2}-\lambda x^{4}\}\ dx$

score 236 · Answer 1 · 2026-03-26 17:43:18

236

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Calculate $\int_{-\infty}^{+\infty} \exp\{-x^{2}-\lambda x^{4}\}\ dx$

Published on 26 Mar 2026 - 17:43

score 176 · Answer 2 · 2026-03-28 20:03:30

176

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Relationship between Hankel Function and Hypergeometric Function

Published on 28 Mar 2026 - 20:03

score 94 · Answer 3 · 2016-09-28 12:17:07

94

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Evaluating complex integral of Bessel functions

Published on 28 Sep 2016 - 12:17

score 303 · Answer 4 · 2016-10-01 06:41:17

303

Views

Property of Modified Bessel function of first kind

Published on 01 Oct 2016 - 6:41

score 83 · Answer 5 · 2016-10-01 22:08:21

83

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Under which conditions $\int_0^\infty q^{1-k} J_{2m+k} (q) J_\nu (qr) \, \mathrm{d} q $ vanishes if $r>1$?

Published on 01 Oct 2016 - 22:08

score 630 · Answer 6 · 2016-10-03 06:10:36

630

Views

How can I prove this identity for the bessel function?

Published on 03 Oct 2016 - 6:10

score 507 · Answer 7 · 2026-03-25 19:12:05

507

Views

Is there a way to compute $\int_0^\infty \frac{\cos (qt) J_1 (qr)}{1+q^2} \, \mathrm{d} q$ provided that $0<t<r$?

Published on 25 Mar 2026 - 19:12

score 260 · Answer 8 · 2016-10-06 06:45:25

260

Views

How to derive the density of bessel process of dimensional 3 starting at x?

Published on 06 Oct 2016 - 6:45

score 1.5k · Answer 9 · 2016-10-06 18:02:36

1.5k

Views

Finding the general solution of $xy''+y'+xy=0$ using reduction of order.

Published on 06 Oct 2016 - 18:02

score 3k · Answer 10 · 2016-10-09 14:37:30

3k

Views

Approximating the log of the Modified Bessel Function of the Second Kind

Published on 09 Oct 2016 - 14:37

score 313 · Answer 11 · 2016-10-11 21:27:14

313

Views

Integrating an exponential function on the hemisphere

Published on 11 Oct 2016 - 21:27

score 144 · Answer 12 · 2026-03-25 01:34:53

144

Views

Some detail in Fefferman's thesis

Published on 25 Mar 2026 - 1:34

score 55 · Answer 13 · 2026-03-25 19:12:04

55

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What are the assumptions that should be made for the determination of the unknown integration constants in this system of dual integral equations?

Published on 25 Mar 2026 - 19:12

score 27 · Answer 14 · 2026-03-25 19:10:47

27

Views

Which relation between $A$, $B$ and $C$ should be satisfied in order the infinite integral below vanish?

Published on 25 Mar 2026 - 19:10

score 2.4k · Answer 15 · 2016-10-17 14:37:45

2.4k

Views

Transforming Bessel's equation with change of variables

Published on 17 Oct 2016 - 14:37

List Question

Calculate $\int_{-\infty}^{+\infty} \exp\{-x^{2}-\lambda x^{4}\}\ dx$

Relationship between Hankel Function and Hypergeometric Function

Evaluating complex integral of Bessel functions

Property of Modified Bessel function of first kind

Under which conditions $\int_0^\infty q^{1-k} J_{2m+k} (q) J_\nu (qr) \, \mathrm{d} q $ vanishes if $r>1$?

How can I prove this identity for the bessel function?

Is there a way to compute $\int_0^\infty \frac{\cos (qt) J_1 (qr)}{1+q^2} \, \mathrm{d} q$ provided that $0<t<r$?

How to derive the density of bessel process of dimensional 3 starting at x?

Finding the general solution of $xy''+y'+xy=0$ using reduction of order.

Approximating the log of the Modified Bessel Function of the Second Kind

Integrating an exponential function on the hemisphere

Some detail in Fefferman's thesis

What are the assumptions that should be made for the determination of the unknown integration constants in this system of dual integral equations?

Which relation between $A$, $B$ and $C$ should be satisfied in order the infinite integral below vanish?

Transforming Bessel's equation with change of variables

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