method for manipulating infinite series
C32198
concept
A method for manipulating infinite series is a systematic procedure or algorithm used to transform, analyze, or compute sums of infinitely many terms while preserving convergence properties and enabling meaningful results.
All labels observed (7)
| Label | Occurrences |
|---|---|
| summability method | 4 |
| summation method | 3 |
| method of summability | 2 |
| binary operation on power series | 1 |
| method for manipulating infinite series canonical | 1 |
| operation on formal power series | 1 |
| technique in q-series | 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: method for manipulating infinite series
Generated description
A method for manipulating infinite series is a systematic procedure or algorithm used to transform, analyze, or compute sums of infinitely many terms while preserving convergence properties and enabling meaningful results.
Instances (9)
| Instance | Via concept surface |
|---|---|
| Euler’s method of rearranging absolutely convergent series | — |
| Hadamard product (of power series) | binary operation on power series |
| Bailey chain method | technique in q-series |
| Cesàro summation | summation method |
| Abel summation | summation method |
| Borel summation | summation method |
|
Bochner
surface form:
Bochner–Riesz means
|
summability method |
| Bochner–Riesz means | summability method |
|
Riesz
surface form:
Riesz means
|
summability method |