theory of polynomial sequences
C37699
concept
A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
All labels observed (6)
| Label | Occurrences |
|---|---|
| family of polynomials | 1 |
| q-orthogonal polynomials | 1 |
| representation of orthogonal polynomials | 1 |
| sequence of polynomials | 1 |
| taxonomy of orthogonal polynomials | 1 |
| theory of polynomial sequences canonical | 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: theory of polynomial sequences
Generated description
A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
Instances (6)
| Instance | Via concept surface |
|---|---|
| Finite Operator Calculus | — |
| Bernstein polynomials | family of polynomials |
| Bernoulli polynomials | sequence of polynomials |
| Rodrigues formula | representation of orthogonal polynomials |
| Askey scheme of hypergeometric orthogonal polynomials | taxonomy of orthogonal polynomials |
| Macdonald polynomials | q-orthogonal polynomials |