Abstract
Two seemingly disparate mathematical entities – quantum Bernstein bases and hypergeometric series – are revealed to be intimately related. The partition of unity property for quantum Bernstein bases is shown to be equivalent to the Chu-Vandermonde formula for hypergeometric series, and the Marsden identity for quantum Bernstein bases is shown to be equivalent to the Pfaff-Saalschütz formula for hypergeometric series. The equivalence of the q-versions of these formulas and identities is also demonstrated.
| Original language | English |
|---|---|
| Pages (from-to) | 2485-2494 |
| Number of pages | 10 |
| Journal | Filomat |
| Volume | 34 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020, University of Nis. All rights reserved.
Keywords
- Chu-Vandermonde formula
- Hypergeometric series
- Marsden identity
- Pfaff-Saalschütz formula
- Quantum Bernstein bases
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