On the Total Positivity and Accurate Computations of <i>r</i>-Bell Polynomial Bases

On the Total Positivity and Accurate Computations of <i>r</i>-Bell Polynomial Bases

A new class of matrices defined in terms of <i>r</i>-Stirling numbers is introduced. These <i>r</i>-Stirling matrices are totally positive and determine the linear transformation between monomial and <i>r</i>-Bell polynomial bases. An efficient algorithm for the c...

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Bibliographic Details
Main Authors: Esmeralda Mainar, Juan Manuel Peña, Beatriz Rubio
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Axioms
Subjects:
high relative accuracy
bidiagonal decompositions
totally positive matrices
<i>r</i>-Stirling numbers
<i>r</i>-Bell polynomials
Online Access:https://www.mdpi.com/2075-1680/12/9/839

Internet

https://www.mdpi.com/2075-1680/12/9/839

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