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Mathematics
Zaid Alyafeai's user avatar
Zaid Alyafeai's user avatar
Zaid Alyafeai's user avatar
Zaid Alyafeai
  • Member for 10 years, 11 months
  • Last seen more than 4 years ago
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About

My book on advanced integration

http://advancedintegrals.com/advanced-integration-techniques.pdf

My Blog where I post some interesting integration problems and properties.

My Email: alyafey22[at]gmail[dot]com

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88
Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$
Aug 16, 2013
43
Triple Euler sum result $\sum_{k\geq 1}\frac{H_k^{(2)}H_k }{k^2}=\zeta(2)\zeta(3)+\zeta(5)$
Dec 18, 2013
34
Really advanced techniques of integration (definite or indefinite)
Aug 7, 2016
34
Evaluating $\int^1_0 \frac{\log(1+x)\log(1-x) \log(x)}{x}\, \mathrm dx$
Aug 12, 2013
29
Calculating alternating Euler sums of odd powers
Mar 3, 2017
26
Alternating harmonic sum $\sum_{k\geq 1}\frac{(-1)^k}{k^3}H_k$
Aug 1, 2013
22
Real and imaginary part of Gamma function
Jul 30, 2013
21
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
May 22, 2014
21
Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
Dec 25, 2013
20
Double Integral $\int_0^\infty \int_0^\infty \frac{\log x \log y}{\sqrt {xy}}\cos(x+y)\,dx\,dy=(\gamma+2\log 2)\pi^2$
May 12, 2014
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