Publication: Relationships between identities for quantum Bernstein bases and formulas for hypergeometric series
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Department
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Publisher
National Library of Serbia
Type
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-Saalsch?tz formula for hypergeometric series. The equivalence of the q-versions of these formulas and identities is also demonstrated.
Description
Journal or Series
Filomat
ISSN
0354-5180
ISBN
Rights
OPEN
Keywords
Computer-aided design (modeling of curves and surfaces), Classical hypergeometric functions, \({}_2F_1\), Marsden identity, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Pfaff-Saalschütz formula, Chu-Vandermonde formula, quantum Bernstein bases, hypergeometric series