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Mathematics
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Sam
  • Member for 4 years, 11 months
  • Last seen this week
  • Delhi, India
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35
Prove that $|z^2+1|\le 2$ implies $|z^3+3z+2|\le 6$
May 13
24
Crazy integral with nested radicals and inverse sines
May 11
10
When is $ \sum_{k \in \mathbb{Z}}\left(\frac{\sin(k)}{k}\right)^{n}=2 \int_{0}^{\infty}\left(\frac{\sin(x)}{x}\right)^{n}dx$?
May 18
7
When is this integral a polynomial?
Nov 18, 2023
7
Are these three graphs isomorphic?
Jan 27, 2020
7
Closed form of binomial summation using complex numbers
Apr 28
6
Determine the value of the sum of all elements of the set $A=\{ x \in \Bbb R | \frac{3x^2+5x+2}{x^2+x+1}\in \Bbb N\}$
Jul 12
6
How to calculate the sum $\sum_{i=1}^{\infty} \frac{6}{n(n+3)}$
Jul 6, 2022
6
Simple continued fraction of $\sqrt{d}$ with period of shortest length $3$
Nov 8, 2019
6
Show that $\sum_{k=0}^{n+1}\left(\binom{n}{k}-\binom{n}{k-1}\right)^2 = \frac{2}{n+1}\binom{2n}{n}$
Oct 19, 2019