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 1d awarded Notable Question Apr9 comment How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ Thanks a lot Clement, this is very clever and nice solution, thanks a lot Apr9 accepted How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ Apr9 comment How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ I edited question with little detail, sorry about it, i assumed it was obvious, cause simplest example $ln^2 x > x^2$ as x goes to 0 shows it couldn't be possible. Apr9 revised How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ added 72 characters in body Apr9 comment How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ Thanks peter for your comment, x should be greater than 0. Apr9 revised How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ added 7 characters in body Apr9 comment How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ @ClementC. it's looking very nice! Apr9 comment How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ Hey @peter.petrov yes i'm sure Apr9 asked How to find function $f$ bounded from top by $x^\alpha$ and from bottom by $log^k(x)$ Apr2 comment Is generating function having use in recurence relations containing division in subscripts? You say $$\sum_{k=2}^r \lambda_k a_0 = a_0$$ That is not true when any $\lambda_k>1$. I understood $\lambda_k$ is constant standing next to $a_{\lfloor \frac{n}{k} \rfloor}$, right? Apr2 asked Is generating function having use in recurence relations containing division in subscripts? Apr1 accepted Generating function for sequence $a_n = \lceil \sqrt{n} \rceil$ Apr1 comment Generating function for sequence $a_n = \lceil \sqrt{n} \rceil$ @MarcoCantarini thanks for this comment, but we don't need to care about convergence of this generating function as long as we don't substitute any value for x. Apr1 revised Generating function for sequence $a_n = \lceil \sqrt{n} \rceil$ mistake Apr1 asked Generating function for sequence $a_n = \lceil \sqrt{n} \rceil$ Mar8 awarded Benefactor Mar3 comment Help me finding closed form of sum of 4 elements This is amazing work, i learned new view on this. Many thanks Markus Mar3 accepted Help me finding closed form of sum of 4 elements Feb23 accepted How to imagine squared random variable