Abstract
We present a short proof of the Fabry quotient theorem, which states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficients tends to s, then the point (Formula presented.) is a singular point of the series. This proof only uses material from undergraduate university studies.
| Original language | English |
|---|---|
| Pages (from-to) | 344-351 |
| Number of pages | 8 |
| Journal | American Mathematical Monthly |
| Volume | 129 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2022 |
All Science Journal Classification (ASJC) codes
- General Mathematics
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