Question

Justify an approximation of $\sum_{k=1}^\infty\operatorname{Ei}(-k)$, where $\operatorname{Ei}(x)$ denotes the exponential integral function

score 174 · Answer 1 · 2018-02-15 21:02:24

174

Views

Justify an approximation of $\sum_{k=1}^\infty\operatorname{Ei}(-k)$, where $\operatorname{Ei}(x)$ denotes the exponential integral function

Published on 15 Feb 2018 - 21:02

score 314 · Answer 2 · 2018-02-22 17:29:41

314

Views

Explicit solution for ODE

Published on 22 Feb 2018 - 17:29

score 399 · Answer 3 · 2018-02-24 07:05:34

399

Views

Exact value of the limit of the Mandelbrot iteration for c=1/4?

Published on 24 Feb 2018 - 7:05

score 105 · Answer 4 · 2026-03-19 23:21:07

105

Views

$f(exp(z)) = f(z) \cdot g(z) $ with closed form solutions?

Published on 19 Mar 2026 - 23:21

score 136 · Answer 5 · 2018-02-27 22:54:52

136

Views

Need an explicit formula for a recurrence relation involving modulus

Published on 27 Feb 2018 - 22:54

score 4.4k · Answer 6 · 2018-03-02 18:06:30

4.4k

Views

The exact value of an infinite sum $e^{-n^2}$

Published on 02 Mar 2018 - 18:06

score 143 · Answer 7 · 2026-03-17 06:24:55

143

Views

Series involving product of Harmonic Numbers

Published on 17 Mar 2026 - 6:24

score 217 · Answer 8 · 2018-03-05 19:49:25

217

Views

Closed form expression of odd series

Published on 05 Mar 2018 - 19:49

score 172 · Answer 9 · 2018-03-06 09:21:31

172

Views

Combination with repetitions removing the permutated sequences

Published on 06 Mar 2018 - 9:21

score 78 · Answer 10 · 2018-03-06 15:39:05

78

Views

Multiple sum involving binomial coefficients

Published on 06 Mar 2018 - 15:39

score 267 · Answer 11 · 2026-03-22 15:41:33

267

Views

Closed forms of sums of rational or real powers

Published on 22 Mar 2026 - 15:41

score 261 · Answer 12 · 2018-03-08 18:35:39

261

Views

Closed Form of $\int x^n e^x~\mathrm{d}x$

Published on 08 Mar 2018 - 18:35

score 784 · Answer 13 · 2026-03-22 06:01:11

784

Views

Iterative Function Definition to Closed Form

Published on 22 Mar 2026 - 6:01

score 50 · Answer 14 · 2018-03-12 17:23:41

50

Views

Solving for $X$ inside of a matrix inverse

Published on 12 Mar 2018 - 17:23

score 45 · Answer 15 · 2018-03-13 01:30:52

45

Views

$I = \int_{0}^{u} z^{a} \exp(-b z) (c z + d)^{-g}\, dz$ where $u, a, b, c, d, g \in \mathbb R^{+}$

Published on 13 Mar 2018 - 1:30

List Question

Justify an approximation of $\sum_{k=1}^\infty\operatorname{Ei}(-k)$, where $\operatorname{Ei}(x)$ denotes the exponential integral function

Explicit solution for ODE

Exact value of the limit of the Mandelbrot iteration for c=1/4?

$f(exp(z)) = f(z) \cdot g(z) $ with closed form solutions?

Need an explicit formula for a recurrence relation involving modulus

The exact value of an infinite sum $e^{-n^2}$

Series involving product of Harmonic Numbers

Closed form expression of odd series

Combination with repetitions removing the permutated sequences

Multiple sum involving binomial coefficients

Closed forms of sums of rational or real powers

Closed Form of $\int x^n e^x~\mathrm{d}x$

Iterative Function Definition to Closed Form

Solving for $X$ inside of a matrix inverse

$I = \int_{0}^{u} z^{a} \exp(-b z) (c z + d)^{-g}\, dz$ where $u, a, b, c, d, g \in \mathbb R^{+}$

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