formal power series
C21868
concept
A formal power series is an infinite sum of terms \(a_n x^n\) treated purely algebraically, without concern for convergence, where coefficients \(a_n\) come from a given ring or field.
All labels observed (3)
| Label | Occurrences |
|---|---|
| formal power series canonical | 2 |
| series expansion | 2 |
| series representation | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: formal power series
Generated description
A formal power series is an infinite sum of terms \(a_n x^n\) treated purely algebraically, without concern for convergence, where coefficients \(a_n\) come from a given ring or field.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Hahn series | — |
| Born expansion of Green’s function | series representation |
| Fourier series | series expansion |
| Puiseux series | — |
| Mayer cluster expansion | series expansion |