List questions from closed-form

Published on 03 Mar 2014 - 6:20

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Closed-form expression for a hypergeometric series

Published on 03 Mar 2014 - 8:44

72

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Analytic expression for zeroes of sum of two sinusoids

Published on 04 Mar 2014 - 15:23

143

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Closed-form expression of a definite integral

Published on 25 Mar 2026 - 20:34

691

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Transition time in a Lotka-Volterra system

Published on 06 Mar 2014 - 20:17

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Integral $\int_0^1\frac{\log(1-x)}{\sqrt{x-x^3}}dx$

Published on 07 Mar 2014 - 5:19

188

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How to solve this summation (Lerch Transcendent)?

Published on 28 Mar 2026 - 1:46

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Integral $\int_0^1\frac{1-x^2+\left(1+x^2\right)\ln x}{\left(x+x^2\right)\ln^3x}dx$

Published on 09 Mar 2014 - 23:05

163

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Integral $\int_0^{\infty } \frac{1}{(\alpha x^2 + 1) \left(- 2 \sqrt{\frac{ x^2}{x^2+1}}+2 x+\pi \right)} \, dx$

Published on 25 Mar 2026 - 19:10

1.4k

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Prove equality $a^{\log_b c} = c^{\log_b a}$

Published on 11 Mar 2014 - 0:18

985

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Strange closed forms for hypergeometric functions

Published on 07 Apr 2026 - 11:10

364

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Convert any Recursive Summation into an Integral

Published on 30 Mar 2026 - 14:37

350

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Closed form solution for the (easy at first glance) IVP $wu' =(2-w) u$, $ww'=u-w$

Published on 11 Apr 2017 - 23:17

4.5k

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Find a formula for $\sum_{i=1}^n (2i-1)^2 = 1^2+3^2+....+(2n-1)^2$

Published on 12 Apr 2017 - 14:14

216

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Summation of alternating series, Mercator series: $\sum_{n=1}^\infty\frac{(-1)^{n+1}}{n(n+1)}$

Published on 15 Apr 2017 - 17:13

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Does this series $2 + 4 + \cdots + \sqrt{\sqrt{n}} + \sqrt{n} + n$ have a general term?

Closed-form expression for a hypergeometric series

Analytic expression for zeroes of sum of two sinusoids

Closed-form expression of a definite integral

Transition time in a Lotka-Volterra system

Integral $\int_0^1\frac{\log(1-x)}{\sqrt{x-x^3}}dx$

How to solve this summation (Lerch Transcendent)?

Integral $\int_0^1\frac{1-x^2+\left(1+x^2\right)\ln x}{\left(x+x^2\right)\ln^3x}dx$

Integral $\int_0^{\infty } \frac{1}{(\alpha x^2 + 1) \left(- 2 \sqrt{\frac{ x^2}{x^2+1}}+2 x+\pi \right)} \, dx$

Prove equality $a^{\log_b c} = c^{\log_b a}$

Strange closed forms for hypergeometric functions

Convert any Recursive Summation into an Integral

Closed form solution for the (easy at first glance) IVP $wu' =(2-w) u$, $ww'=u-w$

Find a formula for $\sum_{i=1}^n (2i-1)^2 = 1^2+3^2+....+(2n-1)^2$

Summation of alternating series, Mercator series: $\sum_{n=1}^\infty\frac{(-1)^{n+1}}{n(n+1)}$

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