q-Blossoming for analytic functions

We construct a q -analog of the blossom for analytic functions, the analytic q -blossom. This q -analog also extends the notion of q -blossoming from polynomials to analytic functions. We then apply this analytic q -blossom to derive identities for analytic functions represented in terms of the q -P...

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Bibliographic Details
Published inNumerical algorithms Vol. 82; no. 1; pp. 107 - 121
Main Authors Goldman, Ron, Simeonov, Plamen
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2019
Springer Nature B.V
Subjects
Algebra
Algorithms
Analytic functions
Computer Science
Mathematical analysis
Numeric Computing
Numerical Analysis
Original Paper
Polynomials
Theory of Computation
Marsden identity
30Bxx
41Axx
30E10
blossom
bracket operator
65Dxx
Poisson basis
de Boor-Fix formula
65D17
Analytic function
derivative
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Summary:We construct a q -analog of the blossom for analytic functions, the analytic q -blossom. This q -analog also extends the notion of q -blossoming from polynomials to analytic functions. We then apply this analytic q -blossom to derive identities for analytic functions represented in terms of the q -Poisson basis, including q -versions of the Marsden identity and the de Boor-Fix formula for analytic functions.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-018-0595-y