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Math-fun
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19 votes
4 answers
3k views

$f : \mathbb{R}^+ → \mathbb{R}$ with $f(0) = f'(0) = 0$ and $f(x) < x^2$ and $f',f'',f''' > 0$?

7 votes
2 answers
92 views

lower bound for a function of $\Gamma$

7 votes
2 answers
1k views

minimum eigenvalue for difference of two matrices

7 votes
1 answer
110 views

how do I find the general term here?

4 votes
4 answers
258 views

is it for granted that $\log x$ grows slower than $x^a$?

4 votes
1 answer
276 views

stochastic dominance definition

4 votes
0 answers
100 views

convenient and precise calculation of $\sum_{n=1}^{\infty}\frac{1}{n^b(n+m)^b}$

3 votes
0 answers
83 views

How to prove that : $\lim_{n \rightarrow \infty}\frac{1}{n}\sum_1^n\frac{k^8}{(a+(k+b)^2)^4}=1$

3 votes
1 answer
227 views

change order of integration

3 votes
1 answer
55 views

An idenity related to Gamma function

3 votes
2 answers
172 views

how to prove using elementary comparisons that $x \log x \leq \log(2x^2-3x+2)$?

3 votes
0 answers
43 views

an integral equation in a function with two arguments

3 votes
0 answers
150 views

A Taylor Expansion before Taylor

2 votes
0 answers
97 views

closed form for integrals involving error function

2 votes
0 answers
89 views

A tough double integral

2 votes
0 answers
103 views

Challenging CDF of $\sup_t|B_t|$ ($B_t$ is a Brownian Bridge)

2 votes
0 answers
254 views

sum of reciprocal of roots

2 votes
0 answers
102 views

limiting distribution of a function of joint normals

2 votes
1 answer
60 views

divergence rate for a sum involving log

2 votes
2 answers
84 views

an operator question

2 votes
0 answers
44 views

Multiplication of $m$ consecutive integers which is $1$ less a square: unique when $m=4$?

2 votes
0 answers
51 views

Remainder from a functional CLT

2 votes
1 answer
83 views

$a_n\to\infty$ then how does $\sum_{k=1}^{n} a_k$ diverge?

2 votes
0 answers
29 views

asymptotic behavior of a nice summation

1 vote
1 answer
52 views

Infinitely many equations with infinitely many unknowns

1 vote
0 answers
68 views

rational and Gaussian double integral

1 vote
1 answer
30 views

$L^2$ - base functions

1 vote
2 answers
619 views

Two integrals involving $\sqrt{\cosh x}$

1 vote
1 answer
45 views

a seemingly simple functional equation

1 vote
2 answers
35 views

A question on Rank of matrices