Goldman, RonSimeonov, Plamen2018-10-312018-10-312018Goldman, Ron and Simeonov, Plamen. "q-Blossoming for analytic functions." <i>Numerical Algorithms,</i> (2018) Springer: https://doi.org/10.1007/s11075-018-0595-y.https://hdl.handle.net/1911/103238We construct aﾠq-analog of the blossom for analytic functions, the analyticﾠq-blossom. Thisﾠq-analog also extends the notion ofﾠq-blossoming from polynomials to analytic functions. We then apply this analyticﾠq-blossom to derive identities for analytic functions represented in terms of theﾠq-Poisson basis, includingﾠq-versions of the Marsden identity and the de Boor-Fix formula for analytic functions.engThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Springer.Journal articlehttps://doi.org/10.1007/s11075-018-0595-y