Community hub
0 subscribers7 pages, 0 posts
Recent from talks
All channels
Be the first to start a discussion here.
Be the first to start a discussion here.
Be the first to start a discussion here.
Be the first to start a discussion here.
Contribute something
Welcome to the community hub built to collect knowledge and have discussions related to Polynomial sequence.
Nothing was collected or created yet.
Polynomial sequence
View on Wikipediafrom Wikipedia
In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Polynomial sequences are a topic of interest in enumerative combinatorics and algebraic combinatorics, as well as applied mathematics.
Examples
[edit]Some polynomial sequences arise in physics and approximation theory as the solutions of certain ordinary differential equations:
Others come from statistics:
Many are studied in algebra and combinatorics:
Classes of polynomial sequences
[edit]- Polynomial sequences of binomial type
- Orthogonal polynomials
- Secondary polynomials
- Sheffer sequence
- Sturm sequence
- Generalized Appell polynomials
See also
[edit]References
[edit]- Aigner, Martin. "A course in enumeration", GTM Springer, 2007, ISBN 3-540-39032-4 p21.
- Roman, Steven "The Umbral Calculus", Dover Publications, 2005, ISBN 978-0-486-44139-9.
- Williamson, S. Gill "Combinatorics for Computer Science", Dover Publications, (2002) p177.