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19 Questions

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8	Convergence of $\int\limits_{\mathbb{R}}\sum\limits_{n=1}^\infty f(nx+n!)dx$
7	Sources on Several Complex Variables
5	Convergence of $\int\int_{\|x\|\geq 1,\|y\|\geq 1} \frac{1}{\|x\|^\alpha+ \|y\|^\beta} \;dx\;dy$
4	Domain of Holomorphy
4	A solution of $-y'' + q(x)y= \lambda y$

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761 Reputation

-4	Solve $ z= \frac{2a^2}{-4+z} + \frac{2a^4}{(-4+z)^2(-16+z)} + \cdots $.
+2	Riemann integral show $f(x)=g(x)$ for at least 1 $x$ in [a,b]
+2	Prove or disprove: $\sum\limits_{i=1}^n i^2 = O(n^2) $
+2	Liouville's formula

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17 Answers

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5	Prove $\sin x$ is uniformly continuous on $\mathbb R$
3	Limit for a Recurrence Relation
3	How to prove $ \sum_{n=1}^{\infty}\left\|\frac{a_{1}+\cdots+a_{n}}{n}\right\|^{p}\leq\left(\frac{p}{p-1}\right)^{p}\sum_{n=1}^{\infty}\|a_{n}\|^{p} $
3	How to show $\sum_{n=j}^{\infty}n^{-\alpha/p}\leq j^{-\alpha/p}+\frac{p}{\alpha-p}j^{(p-\alpha)/p}$
2	little-o and its properties

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39 Tags

9 calculus × 6	5 functions
6 real-analysis × 9	3 asymptotics × 5
6 inequality × 3	3 sequences-and-series × 4
5 limit × 2	3 analysis × 2
5 continuity	3 recurrence-relations

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