Geodesic
Relationships between identities for quantum Bernstein bases and formulas for hypergeometric series
Filomat, Tome 34 (2020) no. 8, p. 2485

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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.
DOI : 10.2298/FIL2008485Z
Classification : 65D17, 33C05, 33D15
Keywords: Quantum Bernstein bases, Marsden identity, hypergeometric series, Chu-Vandermonde formula, Pfaff-Saalschütz formula 
Fatma Zürnacı; Ron Goldman; Plamen Simeonov. Relationships between identities for quantum Bernstein bases and formulas for hypergeometric series. Filomat, Tome 34 (2020) no. 8, p. 2485 . doi: 10.2298/FIL2008485Z
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     author = {Fatma Z\"urnac{\i} and Ron Goldman and Plamen Simeonov},
     title = {Relationships between identities for quantum {Bernstein} bases and formulas for hypergeometric series},
     journal = {Filomat},
     pages = {2485 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008485Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008485Z/}
}
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