# accumulation point

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## 3 matching pages

##### 1: 1.9 Calculus of a Complex Variable

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►A point
${z}_{0}$ is a

*limit point*(*limiting point*or*accumulation point*) of a set of points $S$ in $\u2102$ (or $\u2102\cup \mathrm{\infty}$) if every neighborhood of ${z}_{0}$ contains a point of $S$ distinct from ${z}_{0}$. …Also, the union of $S$ and its limit points is the*closure*of $S$. …##### 2: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

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►In unusual cases $N=\mathrm{\infty}$, even for all $\mathrm{\ell}$, such as in the case of the

*Schrödinger–Coulomb problem*($V=-{r}^{-1}$) discussed in §18.39 and §33.14, where the point spectrum actually*accumulates*at the onset of the continuum at $\lambda =0$, implying an*essential singularity*, as well as a branch point, in matrix elements of the resolvent, (1.18.66). …##### 3: 18.39 Applications in the Physical Sciences

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