special function
C11532
concept
A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
All labels observed (26)
| Label | Occurrences |
|---|---|
| special function canonical | 23 |
| orthogonal polynomials | 6 |
| special functions | 4 |
| Weierstrass elliptic function | 3 |
| complex function | 3 |
| continuous function | 2 |
| elliptic functions | 2 |
| generalized function | 2 |
| nowhere differentiable function | 2 |
| q-series | 2 |
| special function identity | 2 |
| transcendental function | 2 |
| Euler integral of the first kind | 1 |
| class of special functions | 1 |
| classical modular function | 1 |
| classical orthogonal polynomials | 1 |
| concept in basic hypergeometric series | 1 |
| extension of factorial | 1 |
| family of orthogonal polynomials | 1 |
| family of special functions | 1 |
| hypergeometric function | 1 |
| idealized function | 1 |
| pathological function | 1 |
| step function | 1 |
| tapering function | 1 |
| trigonometric polynomial | 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: special function
Generated description
A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.