All Questions

Consider the following function: $$F(z) = \omega(z)\sin^2\left(\frac{c\Gamma(z)}{z}\right)$$ Here, $\omega(z)$ is a weight we have to construct and $c$ is a constant. The following three conditions ...

Suppose that $g_k\in C([1,2])$, $k\in \mathbb N$ are continuous functions such that $\|g_k\|_{C([1,2])} \leq \epsilon^k$ for some sufficiently small $\epsilon>0$. Is the following claim true: If $f\...

I encountered the following question in my studies: Let us assume we have a real anlaytic solution to an ODE on $\mathbb{R}$ of Schr\"odinger type $-\psi''(x)+V(x)\psi(x)=\lambda \psi(x)$ but we ...