Lucian
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36,305
98/100 score
 Apr 25 awarded Nice Answer Apr 20 comment Finite series that gives Beta function at integers Can someone help me see how this identity arises ? - Probably in the same way as this one... Apr 9 comment Mid-sections and angles Why do we have $B=2\alpha$ and $C=2\beta$ ? Apr 4 awarded Enlightened Apr 4 awarded Nice Answer Mar 27 revised solving the inequalty Fixed Row Alignment. Mar 26 awarded Nice Question Mar 23 awarded Nice Question Mar 23 asked Elegantly Proving that $~\sqrt[5]{12}~-~\sqrt[12]5~>~\frac12$ Mar 19 comment Evaluating an integral involving Beta function Hint: What substitution transforms $(t,z)$ into $(0,1)$ ? Mar 8 comment Program to create graph with modified bessel function @xsr: In that case, may I recommend Mathematica $($ the offline version of Wolfram Alpha $),$ or Maple. Mar 7 comment Solving an infinite series See also Basel problem. Mar 7 answered Program to create graph with modified bessel function Mar 6 comment Primes of the form $x^3+y^3+z^3 - 3xyz$ Mar 6 revised Simplify expression in Boolean algebra Typo Corrected. Mar 5 comment Integral involving Bessel function $J_0$. The general solution can be found here. Mar 5 comment Nested radical $\sqrt{x+\sqrt{x^2+\cdots\sqrt{x^n+\cdots}}}$ A related question. There is no closed form, though, that's the whole point. Mar 5 comment Calculating $\int_0^{\pi/2} (x \sin(x))^n dx$ Try to find a recurrence relation, if at all possible. Mar 5 comment Sum of a particular Series Differentiate with regard to $\alpha,$ and use Euler's formula to rewrite the new expression in terms of the Jacobi $\theta$ function. If even this fails, then all hope is lost. Mar 5 comment Let $p$ a prime number, then prove that : $\sum \limits_{k=0}^{p} \binom {p}{k} \binom{p+k}{k} \equiv 2^p +1 \pmod{p^2}$ Would rewriting $\displaystyle{p+k\choose k}~=~\displaystyle(-1)^k~{-p-1\choose k}$ help in any way ?