Question

Solution for $\int_{0}^{\infty}\left(1+\kappa\text{e}^{\left(b-c\right)t}\right)^{-\frac{b}{b-c}}e^{-at}dt$

score 63 · Answer 1 · 2020-06-25 14:05:45

63

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Solution for $\int_{0}^{\infty}\left(1+\kappa\text{e}^{\left(b-c\right)t}\right)^{-\frac{b}{b-c}}e^{-at}dt$

Published on 25 Jun 2020 - 14:05

score 253 · Answer 2 · 2026-03-26 01:11:06

253

Views

Evaluate hypergeometric $_6F_5\left(\{\frac12\}_6;1,\{\frac32\}_4;1\right)$

Published on 26 Mar 2026 - 1:11

score 689 · Answer 3 · 2020-06-27 06:27:52

689

Views

Evaluate hypergeometric $_6F_5\left(\{\frac12\}_3,\{1\}_3;\{\frac32\}_5;1\right)$

Published on 27 Jun 2020 - 6:27

score 223 · Answer 4 · 2020-07-01 16:02:41

223

Views

Parameter derivative of hypergeometric function with negative half-integer parameters

Published on 01 Jul 2020 - 16:02

score 216 · Answer 5 · 2020-07-02 18:45:06

216

Views

Product of two generalized hypergeometric functions ${}_1F_2 \times {}_1F_2$

Published on 02 Jul 2020 - 18:45

score 309 · Answer 6 · 2020-07-03 19:21:45

309

Views

Limit of parameters of hypergeometric function

Published on 03 Jul 2020 - 19:21

score 256 · Answer 7 · 2026-03-25 22:05:17

256

Views

General method of evaluating $\small\sum_{n\geq 0}\left(\frac{4^n}{(2n+1)\binom{2n}{n}}\right)^2\frac{1}{n+k}$

Published on 25 Mar 2026 - 22:05

score 406 · Answer 8 · 2020-07-05 02:01:49

406

Views

Solving a sum using the hypergeometric function

Published on 05 Jul 2020 - 2:01

score 377 · Answer 9 · 2020-07-06 04:50:28

377

Views

Prove $\, _6F_5\left(\{\frac12\}_5,\frac{5}{4};\frac{1}{4},\{1\}_4;-1\right)=\frac{2}{\Gamma \left(\frac{3}{4}\right)^4}$ and another

Published on 06 Jul 2020 - 4:50

score 129 · Answer 10 · 2020-07-10 16:51:11

129

Views

How I can solve this differential equation: $y'''(x)+ax\,y(x)=0$?

Published on 10 Jul 2020 - 16:51

score 129 · Answer 11 · 2020-07-12 21:27:15

129

Views

How to show ${_2F_1}\left(-\frac{19}{20}, \frac{11}{30}; -\frac{19}{30}; -2\right)$ is zero.

Published on 12 Jul 2020 - 21:27

score 20 · Answer 12 · 2020-07-13 13:14:32

20

Views

1,000 picks (not replaced) from sample of 10,000,000 with (1,000 types and 10,000 of each type)

Published on 13 Jul 2020 - 13:14

score 411 · Answer 13 · 2026-03-25 20:32:42

411

Views

Proof for a combinatorial identity

Published on 25 Mar 2026 - 20:32

score 177 · Answer 14 · 2020-07-20 10:32:42

177

Views

Limit of Hypergeometric function

Published on 20 Jul 2020 - 10:32

score 71 · Answer 15 · 2020-07-22 06:18:49

71

Views

Can you find a single solution of this function?

Published on 22 Jul 2020 - 6:18

List Question

Solution for $\int_{0}^{\infty}\left(1+\kappa\text{e}^{\left(b-c\right)t}\right)^{-\frac{b}{b-c}}e^{-at}dt$

Evaluate hypergeometric $_6F_5\left(\{\frac12\}_6;1,\{\frac32\}_4;1\right)$

Evaluate hypergeometric $_6F_5\left(\{\frac12\}_3,\{1\}_3;\{\frac32\}_5;1\right)$

Parameter derivative of hypergeometric function with negative half-integer parameters

Product of two generalized hypergeometric functions ${}_1F_2 \times {}_1F_2$

Limit of parameters of hypergeometric function

General method of evaluating $\small\sum_{n\geq 0}\left(\frac{4^n}{(2n+1)\binom{2n}{n}}\right)^2\frac{1}{n+k}$

Solving a sum using the hypergeometric function

Prove $\, _6F_5\left(\{\frac12\}_5,\frac{5}{4};\frac{1}{4},\{1\}_4;-1\right)=\frac{2}{\Gamma \left(\frac{3}{4}\right)^4}$ and another

How I can solve this differential equation: $y'''(x)+ax\,y(x)=0$?

How to show ${_2F_1}\left(-\frac{19}{20}, \frac{11}{30}; -\frac{19}{30}; -2\right)$ is zero.

1,000 picks (not replaced) from sample of 10,000,000 with (1,000 types and 10,000 of each type)

Proof for a combinatorial identity

Limit of Hypergeometric function

Can you find a single solution of this function?

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