User Math-fun

19 votes

4 answers

3k views

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

asked Jan 17, 2019 at 18:04

7 votes

2 answers

92 views

lower bound for a function of $\Gamma$

calculus real-analysis

asked Jan 4, 2017 at 15:58

7 votes

2 answers

1k views

minimum eigenvalue for difference of two matrices

linear-algebra matrices

asked Jul 29, 2015 at 13:22

7 votes

1 answer

110 views

how do I find the general term here?

sequences-and-series

asked Sep 3, 2015 at 8:52

4 votes

4 answers

258 views

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

calculus limits limits-without-lhopital

asked Sep 30, 2015 at 7:29

4 votes

1 answer

276 views

stochastic dominance definition

probability-theory statistics probability-distributions

asked Aug 6, 2015 at 7:42

4 votes

0 answers

100 views

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

calculus summation special-functions

asked Dec 15, 2016 at 14:47

3 votes

0 answers

83 views

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

integration sequences-and-series summation riemann-sum

asked Jan 30, 2015 at 13:52

3 votes

1 answer

227 views

change order of integration

integration geometry definite-integrals

asked Mar 10, 2015 at 9:35

3 votes

1 answer

55 views

An idenity related to Gamma function

integration complex-analysis

asked Mar 11, 2015 at 10:04

3 votes

2 answers

172 views

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

calculus functions inequality logarithms

asked Sep 24, 2015 at 12:00

3 votes

0 answers

43 views

an integral equation in a function with two arguments

calculus functional-analysis functions

asked Aug 12, 2015 at 11:31

3 votes

0 answers

150 views

A Taylor Expansion before Taylor

taylor-expansion math-history

asked Jan 29, 2016 at 12:26

2 votes

0 answers

97 views

closed form for integrals involving error function

integration definite-integrals

asked Mar 4, 2015 at 15:11

2 votes

0 answers

89 views

A tough double integral

integration complex-analysis probability-distributions

asked Mar 9, 2015 at 8:56

2 votes

0 answers

103 views

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

probability-theory stochastic-calculus

asked Nov 30, 2014 at 20:25

2 votes

0 answers

254 views

sum of reciprocal of roots

calculus sequences-and-series numerical-methods

asked Aug 11, 2015 at 11:23

2 votes

0 answers

102 views

limiting distribution of a function of joint normals

probability sequences-and-series probability-distributions convergence-divergence

asked Jun 30, 2015 at 13:58

2 votes

1 answer

60 views

divergence rate for a sum involving log

calculus sequences-and-series

asked Jul 16, 2015 at 14:06

2 votes

2 answers

84 views

an operator question

calculus operator-theory

asked Mar 26, 2015 at 14:39

2 votes

0 answers

44 views

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

polynomials integers

asked Mar 31, 2021 at 12:43

2 votes

0 answers

51 views

Remainder from a functional CLT

probability-theory stochastic-processes asymptotics stochastic-calculus

asked Mar 2, 2018 at 10:30

2 votes

1 answer

83 views

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

sequences-and-series summation

asked Jun 18, 2018 at 15:58

2 votes

0 answers

29 views

asymptotic behavior of a nice summation

limits summation gamma-function

asked Feb 20, 2017 at 13:33

1 vote

1 answer

52 views

Infinitely many equations with infinitely many unknowns

sequences-and-series

asked Jun 9, 2017 at 12:19

1 vote

0 answers

68 views

rational and Gaussian double integral

calculus integration numerical-methods improper-integrals multiple-integral

asked Sep 15, 2017 at 9:38

1 vote

1 answer

30 views

$L^2$ - base functions

functional-analysis functions

asked May 23, 2016 at 15:40

1 vote

2 answers

619 views

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

integration definite-integrals improper-integrals

asked Aug 19, 2016 at 9:13

1 vote

1 answer

45 views

a seemingly simple functional equation

calculus functional-analysis

asked Oct 21, 2016 at 15:12

1 vote

2 answers

35 views

A question on Rank of matrices

matrix-calculus random-matrices

asked Nov 15, 2016 at 13:36

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52 Questions

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

lower bound for a function of $\Gamma$

minimum eigenvalue for difference of two matrices

how do I find the general term here?

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

stochastic dominance definition

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

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

change order of integration

An idenity related to Gamma function

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

an integral equation in a function with two arguments

A Taylor Expansion before Taylor

closed form for integrals involving error function

A tough double integral

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

sum of reciprocal of roots

limiting distribution of a function of joint normals

divergence rate for a sum involving log

an operator question

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

Remainder from a functional CLT

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

asymptotic behavior of a nice summation

Infinitely many equations with infinitely many unknowns

rational and Gaussian double integral

$L^2$ - base functions

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

a seemingly simple functional equation

A question on Rank of matrices