Skip to main content
Mathematics
Hazem Orabi's user avatar
Hazem Orabi's user avatar
Hazem Orabi's user avatar
Hazem Orabi
  • Member for 9 years, 2 months
  • Last seen this week
Profile Activity

Stats

5,232
reputation
66k
reached
122
answers
27
questions
Communities

About

$ Truth(s) = \sum Number(s) \cdot Fact(s) + Error(s) $

Badges

View all badges
2
gold badges
18
silver badges
40
bronze badges

Top tags

View all tags
119
Score
74
Posts
50
Posts %
100
Score
35
Posts
23
Posts %
82
Score
35
Posts
23
Posts %
79
Score
21
Posts
14
Posts %
30
Score
20
Posts
13
Posts %
29
Score
24
Posts
16
Posts %

Top posts

View all questions and answers
24
Mathematical Explanation of Mathematica Summation ${\sum_{n=1}^{\infty}\frac{(2n-1)!}{(2n+2)!}\zeta(2n)}$
Aug 14, 2018
13
Conjecture ${\large\int}_0^\infty\left[\frac1{x^4}-\frac1{2x^3}+\frac1{12\,x^2}-\frac1{\left(e^x-1\right)x^3}\right]dx=\frac{\zeta(3)}{8\pi^2}$
Feb 13, 2017
12
A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
Oct 27, 2016
11
Expressing Zeta function using Gamma series
Feb 7, 2017
10
Show a detail prove of : $\int_{0}^{1}\int_{0}^{1}\left({x\over 1-xy}\cdot{\ln{x}-\ln{y}\over \ln{x}+\ln{y}}\right)\mathrm dx\mathrm dy=1-2\gamma$
Jan 14, 2017
10
On $\int\limits_0^{\pi/4} \frac{\sin(8x)}{\log(\tan{x})}dx = \frac{62\zeta(5)}{45\zeta(4)}-\frac{7\zeta(3)}{9\zeta(2)}$
Jun 24
8
$\sum _{n=1}^{\infty} \frac 1 {n^2} =\frac {\pi ^2}{6}$ and $ S_i =\sum _{n=1}^{\infty} \frac{i} {(36n^2-1)^i}$ . Find $S_1 + S_2 $
Jul 1, 2021
8
On $\frac12\iint_0^\infty\frac{(xy)^{s-1}}{e^y+1}\frac{dxdy}{\cosh{x}}=\iint_0^\infty\frac{(2xy)^{s-1}}{e^{x+y}+1}\frac{dxdy}{\cosh{x}}$
Nov 9
8
$\lim\limits_{s\to0^+}\sum_n\frac{\cos\left(\pi\frac{n}{m}\right)}{n^s}$ & $\lim\limits_{s\to0^+}\sum_n\frac{\sin\left(\pi\frac{n}{m}\right)}{n^s}$
Oct 10, 2018
7
Prove the series $(-1)^k\sum_{n=0}^{\infty}{2^{n+1}(2k-1)!!\over {2n\choose n}(2n+1)(2n+3)\cdots(2n+2k+1)}=\pi-4(...)$
Dec 25, 2016