g.kov's user avatar
g.kov's user avatar
g.kov's user avatar
g.kov
  • Member for 10 years, 3 months
  • Last seen more than 2 years ago
14 votes
3 answers
430 views

Is there a known closed form solution to $\int_0^1\frac{\ln(1+x^{2n})}{1+x^2} \,dx$?

8 votes
1 answer
138 views

Closed form of $\int_0^1\frac{W_0(-t/e)}{W_{-1}(-t/e)} \,dt$

7 votes
1 answer
248 views

Is there a way to reduce a specific quintic to cubic?

5 votes
0 answers
317 views

Parametric representation of the real branches $\operatorname{W_{0}},\operatorname{W_{-1}}$ of the Lambert W function

5 votes
0 answers
279 views

Is this "kissing incircles" property of a cevian through the Gergonne point (well-)known?

5 votes
0 answers
58 views

Reference-request: Closed form of $\int_0^1 (-\operatorname{W_0}(-\tfrac t{\mathrm{e}}))^x \, dt$

5 votes
2 answers
111 views

Minimizing the area of triangle based on three circumcenters

5 votes
0 answers
83 views

Complex-valued branches of the Lambert W function

4 votes
1 answer
125 views

Reference-request: Closed form of $\int_0^1 (1-W_{-1}(-t/e))^x-(1-W_0(-t/e))^x\,dt$

4 votes
1 answer
101 views

Reference-request: Closed form of $\int_0^1 (\operatorname{W_{-1}}(-\tfrac t{\mathrm{e}}))^n \, dt$

4 votes
0 answers
443 views

Condition for perfect packing of ellipse with circles along the major axis

3 votes
0 answers
218 views

Shortest closed Steiner chain of circles sandwiched between circumcircle and incircle of triangle

3 votes
2 answers
161 views

Geometrical proof that $b\cos\beta+c\cos\gamma=a\cos(\beta-\gamma)$

3 votes
3 answers
120 views

Given semiperimeter and radii of inscribed and circumscribed circles, find the side lengths of triangle

2 votes
1 answer
24 views

Rhombus of minimal area circumscribed around a cosine-shaped lens

2 votes
4 answers
188 views

Examples of triangles, which related ellipses are perfectly packed with circles.

2 votes
1 answer
72 views

Closed form for $\sum_{n=1}^\infty \frac{\Gamma(n+2,n+1)}{\Gamma(n+2)\,n^3\,(1+\tfrac1n)^{n+1}}$?

2 votes
1 answer
128 views

Wolfram-Alpha closed form of product of Gamma function

2 votes
2 answers
68 views

Integrals invariant to the choice of the real branch of the Lambert W function used in the integrand

1 vote
1 answer
219 views

Parameters of the Mandart inellipse

1 vote
1 answer
119 views

Incircle bisectors and related measures

1 vote
1 answer
130 views

Inscribed square in acute triangle

1 vote
0 answers
297 views

Approximating function for the root of quintic polynomial

1 vote
0 answers
79 views

Bisect the inscribed equilateral triangle

1 vote
0 answers
57 views

Is there a known name for curved circular sector(s)?

1 vote
2 answers
67 views

Decomposition of $\psi^{(n)}(1)$ in terms of $\psi^{(n)}(k)$

1 vote
0 answers
53 views

Definite integrals in terms of $W_0,W_{-1}$, which have the opposite signs

1 vote
0 answers
68 views

Mutually inverse functions based on the two real branches of the Lambert W function

1 vote
2 answers
107 views

Is it true that only one root results in a valid solution?

1 vote
1 answer
200 views

Packing parabola with the chain of internally tangent circles