Question

Find the close form.

score 97 · Answer 1 · 2020-01-04 16:37:39

97

Views

Find the close form.

Published on 04 Jan 2020 - 16:37

score 113 · Answer 2 · 2026-03-25 19:10:05

113

Views

Evaluate $\int^1_{-1} \frac{P_{l_1}^{m_1}(x)P_{l_2}^{m_2}(x)}{\sqrt{1-x^2}} dx$

Published on 25 Mar 2026 - 19:10

score 29 · Answer 3 · 2026-03-30 03:38:24

29

Views

Good estimate for ratio $\frac{\gamma(d + s, x)}{\gamma(d,x)}$, where $\gamma$ is the lower incomplete gamma function.

Published on 30 Mar 2026 - 3:38

score 205 · Answer 4 · 2020-01-09 16:48:42

205

Views

Gaussian measure of piece of sphere $S_n(h) := \{x \in \mathbb R^n \mid \|x\|_2 \le 1,\;x_1 \ge h\}$

Published on 09 Jan 2020 - 16:48

score 77 · Answer 5 · 2019-12-17 10:36:57

77

Views

Asymptotic approximate solution of the parabolic cylinder differential equation

Published on 17 Dec 2019 - 10:36

score 330 · Answer 6 · 2026-04-01 08:19:41

330

Views

Generating function for generalized Laguerre polynomials

Published on 01 Apr 2026 - 8:19

score 100 · Answer 7 · 2026-03-28 20:10:26

100

Views

Integral involving Bessel function of the first kind with trigonometric argument

Published on 28 Mar 2026 - 20:10

score 132 · Answer 8 · 2020-01-14 08:01:30

132

Views

Can Heaviside step function or unit step function be expressed as Meijer G-function with some parameters?

Published on 14 Jan 2020 - 8:01

score 159 · Answer 9 · 2026-03-26 19:01:56

159

Views

If an asymptotic expansion is valid as $\text{Re}(z)\to\infty$, must it be valid as $\text{Im}(z)\to\infty$?

Published on 26 Mar 2026 - 19:01

score 131 · Answer 10 · 2020-01-19 13:07:22

131

Views

what's the name of this relation?[repeated]

Published on 19 Jan 2020 - 13:07

score 168 · Answer 11 · 2020-01-20 06:55:20

168

Views

Is this a trigonometric identity? $ \sum_{k=1}^n \frac 2 {1 - \cos\left((2k-1)\pi/n \right)} = n^2$

Published on 20 Jan 2020 - 6:55

score 325 · Answer 12 · 2026-03-28 21:50:52

325

Views

Bessel function multiplied with an exponential function with a complicated argument

Published on 28 Mar 2026 - 21:50

score 104 · Answer 13 · 2026-03-30 15:16:33

104

Views

Integral $\int_{0}^{1}\frac{1}{\sqrt{1-x^2}}\arctan\left(\frac{88\sqrt{21}}{36x^2+215}\right)dx=\frac{\pi^2}{6}$

Published on 30 Mar 2026 - 15:16

score 35 · Answer 14 · 2026-03-28 21:50:49

35

Views

Fourier transform of some particular function

Published on 28 Mar 2026 - 21:50

score 62 · Answer 15 · 2026-03-25 20:32:44

62

Views

Lambert W function in solving repeated exponentiation

Published on 25 Mar 2026 - 20:32

List Question

Find the close form.

Evaluate $\int^1_{-1} \frac{P_{l_1}^{m_1}(x)P_{l_2}^{m_2}(x)}{\sqrt{1-x^2}} dx$

Good estimate for ratio $\frac{\gamma(d + s, x)}{\gamma(d,x)}$, where $\gamma$ is the lower incomplete gamma function.

Gaussian measure of piece of sphere $S_n(h) := \{x \in \mathbb R^n \mid \|x\|_2 \le 1,\;x_1 \ge h\}$

Asymptotic approximate solution of the parabolic cylinder differential equation

Generating function for generalized Laguerre polynomials

Integral involving Bessel function of the first kind with trigonometric argument

Can Heaviside step function or unit step function be expressed as Meijer G-function with some parameters?

If an asymptotic expansion is valid as $\text{Re}(z)\to\infty$, must it be valid as $\text{Im}(z)\to\infty$?

what's the name of this relation?[repeated]

Is this a trigonometric identity? $ \sum_{k=1}^n \frac 2 {1 - \cos\left((2k-1)\pi/n \right)} = n^2$

Bessel function multiplied with an exponential function with a complicated argument

Integral $\int_{0}^{1}\frac{1}{\sqrt{1-x^2}}\arctan\left(\frac{88\sqrt{21}}{36x^2+215}\right)dx=\frac{\pi^2}{6}$

Fourier transform of some particular function

Lambert W function in solving repeated exponentiation

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