# All Questions

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### Deducing a result about entire functions [duplicate]

We need to show that for an entire function $f$ on $\mathbb{C}$, there are constants $a_1,...,a_n$ such that $\int^{2 \pi}_{0}|f(re^{i \theta})|^2 d\theta=2\pi\sum_{n=0}^{\infty}|a_n|^2r^{2n}$. ...
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### Existence theorem for Laplace's equation.

Regarding Laplace's equations, the following two are my questions: 1) If Dirichlet boundary conditions are specified on the surfaces, is it guaranteed that a solution will exist? Or is there some ...
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### Books on computational complexity

Can anyone recommend a good book on the subjects of computability and computational complexity? What are the de facto standard texts (say, for graduate students) in this area? I've heard a thing or ...