A New Recurrence Relation and Related Determinantal form for Binomial Type Polynomial Sequences
| Autor: | Francesco A. Costabile, Elisabetta Longo |
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| Rok vydání: | 2016 |
| Předmět: |
Binomial type
Polynomial Sequence Recurrence relation Mathematics::Commutative Algebra Binomial (polynomial) General Mathematics Recurrence formula 010102 general mathematics Generating function 010103 numerical & computational mathematics 01 natural sciences Combinatorics 0101 mathematics Polynomial sequence Mathematics |
| Zdroj: | Mediterranean Journal of Mathematics. 13:4001-4017 |
| ISSN: | 1660-5454 1660-5446 |
| DOI: | 10.1007/s00009-016-0729-1 |
| Popis: | For polynomial sequence of binomial type we propose a new recurrence formula equivalent to a determinantal form of the sequence, from which known and unknown properties are deducted. Relationships whit $${\delta}$$ –functionals, $${\delta}$$ –operators and generating function are pointed out. Finally, some classical examples are studied, highlighting interesting determinantal identities. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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