On the square root of a Bell matrix

DOI10.1007/S00025-021-01356-YzbMath1467.05015OpenAlexW3130823534MaRDI QIDQ2038381

Donatella Merlini

Publication date: 6 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01356-y

zbMATH Keywords

Schröder's equationRiordan arrayBell matrixsquare root matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrix exponential and similar functions of matrices (15A16)

Uses Software

• gfun
• OEIS
• mftoolbox

Cites Work

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• Lagrange inversion: when and how
• Sequence characterization of Riordan arrays
• The Riordan group
• Pascal triangles, Catalan numbers and renewal arrays
• Riordan arrays and combinatorial sums
• Functions and Jordan canonical forms of Riordan matrices
• The On-Line Encyclopedia of Integer Sequences
• Riordan group involutions
• Evolution profiles and functional equations
• On the Complexity of Composition and Generalized Composition of Power Series
• GFUN
• The Method of Coefficients
• Functions of Matrices

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