Abstract
We have found that there are more than a dozen classical generating functions that could be suitably symbolized to yield various symbolic sum formulas by employing the Mullin–Rota theory of binomial enumeration. Various special formulas and identities involving well-known number sequences or polynomial sequences are presented as illustrative examples. The convergence of the symbolic summations is discussed.
| Original language | American English |
|---|---|
| Journal | Computers and Mathematics with Applications |
| Volume | 54 |
| State | Published - 2007 |
Keywords
- Bell number
- Bernoulli number
- Bernoulli polynomial
- Euler number
- Euler polynomial
- Eulerian fraction
- Generating function
- Genocchi number
- binomial enumeration
- delta operator
- shift-invariant operator
- symbolic sum formula
Disciplines
- Applied Mathematics
- Mathematics