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Pay attention to the names of the deleters of my answers.

Deleted on 1/19/2015: (1).

There was a campaign, on October 25, 26, 2014 during the suspension of my account, for deleting some of my correct and accepted answers. Here is some of them: (1), (2), (3), (4), (5), (6), (7).

See what's going on with my answers (I), (II), (III). (4). They take the hints and ideas from my answers and then they down vote and delete them.

I posted this answer which is the solution to the problem and one of the most important results in complex variable yet it was simply converted to a comment!! This answer was down voted and deleted! I think it is my right to defend my answers.

Some deleted answers! Some of them are accepted and the other are correct. I just would like to keep them at hand.

(1)- (2)- (3)- (4)- (5).

$$ \sum_{k=1}^{n} j^{s}\ln(j)^{m}= \lim_{\alpha \to s } \zeta^{(m)}_{\alpha}( - \alpha ) + \zeta^{(m)}_{\alpha} \left( -\alpha,n+1 \right). $$


Jan
25
comment How to solve the following linear differential equation?
@SteinChen: You are welcome.
Jan
25
comment Eigenfunctions of the laplacian (1 dimension)
Substitute the eigenvalues you got in the solution you already found $u(x)$ and these are your eigenfunctions. See here.
Jan
25
comment Solving $r^2 u_{rr} + 2ru_{r} + r^{2}u = 0$ directly
Have you studied any techniques for solving ordinary differential equations?
Jan
25
comment Evaluate $S=\left|\sum_{n=1}^{\infty} \frac{\sin n}{i^n \cdot n}\right|$
See here.
Jan
25
comment convergence of $\sum_{n=1}^{\infty} \frac {1}{\log(e^n+e^{-n})}$?
You are welcome!
Jan
25
comment convergence of $\int_a^b \frac{1}{x^2} dx$
Have you worked the problems out? What's a?
Jan
25
comment Recurrence equation solution?
See here.
Jan
25
comment How to compute $\int_0^{\infty} \frac{\sqrt{x}}{x^2-1}\mathrm dx$
Are you asked to use contour integration?
Jan
25
comment How to solve the following linear differential equation?
Does the down vote change the facts?
Jan
25
revised Solving functional equation $f(x+y)+f(x-y)=2f(x)\cos y$?
added 244 characters in body
Jan
25
comment How to solve the following linear differential equation?
What's the down vote for?
Jan
25
answered convergence of $\sum_{n=1}^{\infty} \frac {1}{\log(e^n+e^{-n})}$?
Jan
25
answered How to solve the following linear differential equation?
Jan
25
answered Where does the sum of $\sin(n)$ formula come from?
Jan
25
comment Eigenfunctions of the laplacian (1 dimension)
How did you find the eigenvalues?
Jan
25
comment Evaluate the sum
@Arthur Fischer: Where are you and the moderators? I only find you where I make a mistake or typo in my answers!
Jan
25
comment How to solve this least square problem effectively?
@Arthur Fischer: Where are you and the moderators? I only find you where I make a mistake or typo in my answers!
Jan
25
comment Prove that the eigenvalues of the Legendre equation are integers
@Arthur Fischer: Where are you and the moderators? I only find you where I make a mistake or typo in my answers!
Jan
25
comment How does one solve $y^y-x^x=x$ for $x$ as a function of $y$?
Are you looking for a closed form?
Jan
25
comment Is the composition function again in $L^2[a,b]$
Is this an exercise?