The weight function on non-crossing partitions for the \(\Delta\)-convolution

DOI10.1007/s00209-003-0529-8zbMath1040.46045OpenAlexW2016595123MaRDI QIDQ1416694

Hiroaki Yoshida

Publication date: 16 December 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0529-8

zbMATH Keywords

weight functionnon-crossing partitions\(\Delta\)-convolutionmoment-cumulant formulathe recurrence relation

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53)

Related Items (4)

Δ-Cumulants in terms of moments ⋮ THE NUMBER OF PURE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION ⋮ Remarks on the \(r\) and \(\Delta\) convolutions ⋮ Appell polynomials and their relatives. III: Conditionally free theory

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