List questions from closed-form

Published on 03 Nov 2018 - 20:54

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What is the maximum value of $\ln(x+\ln(x+\ln(x+\cdots)))-\ln x$?

Published on 25 Mar 2026 - 1:18

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A limit of combination

Published on 06 Nov 2018 - 10:18

67

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Closed form for product over Gamma function

Published on 25 Mar 2026 - 18:44

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erf function and solving for two unknowns

Published on 07 Nov 2018 - 16:23

103

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Asymptotics for $ f(n) = f(n - 1) + f( n - g(n) ) $?

Published on 07 Nov 2018 - 22:45

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Closed form of $\sum_{n=1}^\infty q^{- n^2} z^n$

Published on 24 Mar 2026 - 23:46

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Is there a closed-form solution for the distance to the origin from the midpoint of a line connecting a point on an arc and a point on a tangent?

Published on 09 Nov 2018 - 15:03

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$2n$ th partial derivative of $\frac{1}{y(1+x^2)-1}$ with respect to $x$.

Published on 25 Mar 2026 - 19:06

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Recurrence Relations-For n∈\N0 let w(n) denote the number of 1s in the binary representation of n. For example, w(9) = 2

Published on 10 Nov 2018 - 8:12

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exact closed form expression

Published on 11 Nov 2018 - 17:21

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On the integral $I(a)=\int_0^1\frac{\log(a+t^2)}{1+t^2}\mathrm dt$

Published on 11 Nov 2018 - 18:57

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Proving the Brouwer Fixed Point Theorem

Published on 13 Nov 2018 - 10:51

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sum of an infinite series $\sum_{k=1}^\infty \left( \prod_{m=1}^k\frac{1}{1+m\gamma}\right) $

Published on 25 Mar 2026 - 20:11

352

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Evaluating the integral $\int_0^1 \frac{\cos bx}{\sqrt{x^2+s^2} }dx$

Published on 15 Nov 2018 - 12:21

List Question

Integral $\int_0^\infty \frac{\arctan(x^2)}{x^4+x^2+1}dx$

What is the maximum value of $\ln(x+\ln(x+\ln(x+\cdots)))-\ln x$?

A limit of combination

Closed form for product over Gamma function

erf function and solving for two unknowns

Asymptotics for $ f(n) = f(n - 1) + f( n - g(n) ) $?

Closed form of $\sum_{n=1}^\infty q^{- n^2} z^n$

Is there a closed-form solution for the distance to the origin from the midpoint of a line connecting a point on an arc and a point on a tangent?

$2n$ th partial derivative of $\frac{1}{y(1+x^2)-1}$ with respect to $x$.

Recurrence Relations-For n∈\N0 let w(n) denote the number of 1s in the binary representation of n. For example, w(9) = 2

exact closed form expression

On the integral $I(a)=\int_0^1\frac{\log(a+t^2)}{1+t^2}\mathrm dt$

Proving the Brouwer Fixed Point Theorem

sum of an infinite series $\sum_{k=1}^\infty \left( \prod_{m=1}^k\frac{1}{1+m\gamma}\right) $

Evaluating the integral $\int_0^1 \frac{\cos bx}{\sqrt{x^2+s^2} }dx$

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