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arxiv: 0805.0762 · v2 · pith:OE343CN3new · submitted 2008-05-06 · 🧮 math.CO · math-ph· math.CA· math.MP

Dendriform Equations

classification 🧮 math.CO math-phmath.CAmath.MP
keywords dendriformalgebrasequationsapplicationsclassfollowintegralintimate
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We investigate solutions for a particular class of linear equations in dendriform algebras. Motivations as well as several applications are provided. The latter follow naturally from the intimate link between dendriform algebras and Rota-Baxter operators, e.g. the Riemann integral or Jackson's q-integral.

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