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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 $x^3+y^3+z^3 - 3xyz$
All ordered positive solutions below $100$.
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 ?