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Everything about Sheffer sequence
Type of polynomial sequence
In mathematics, a Sheffer sequence or poweroid is a polynomial sequence, i.e., a sequence ( pn(x) : n = 0, 1, 2, 3, ... ) of polynomials in which the index of each polynomial equals its degree, satisfying conditions related to the umbral calculus in combinatorics. They are named for Isador M. Sheffer. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Sheffer sequenceA 5-minute orientation
- Skim a recent paper: Some properties of degenerate Sheffer sequences based on algebraic approachInfluential work since 2022
- Pick up a classic book: On the Higher-Order Sheffer Orthogonal Polynomial SequencesThe most-reprinted book on the subject
- Read the landmark paper: Degenerate Sheffer sequences and λ-Sheffer sequencesCited 47 times
- Go sideways: Binomial typeA closely related topic
- Go sideways: Bernoulli polynomialsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Degenerate Sheffer sequences and λ-Sheffer sequences
Recurrence relations for the Sheffer sequences
Umbral calculus and Sheffer sequences of polynomials
λ-q-Sheffer sequence and its applications
On multivariable Sheffer sequences
Self-Inverse Sheffer Sequences
The Iterated Logarithmic Algebra. II. Sheffer sequences
Self-inverse Sheffer sequences and Riordan involutions
🆕 Influential since 2022
Some properties of degenerate Sheffer sequences based on algebraic approach
Orthogonality Associated with Bessel-Type Sheffer Sequences with Q-Parameters
Two characterizations of Sheffer-Dunkl sequences of polynomials
Sheffer sequences with zeros on a line
A note on the post quantum-Sheffer polynomial sequences
📚 Books worth reading
On the Higher-Order Sheffer Orthogonal Polynomial SequencesDaniel J. Galiffa · 2013
On The Higherorder Sheffer Orthogonal Polynomial SequencesDaniel Joseph · 2013
Structure, method, and meaningHenle, Paul · 1951
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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