Title of article
Cumulants, lattice paths, and orthogonal polynomials Original Research Article
Author/Authors
Franz Lehner، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
15
From page
177
To page
191
Abstract
A formula expressing free cumulants in terms of Jacobi parameters of the corresponding orthogonal polynomials is derived. It combines Flajoletʹs theory of continued fractions and the Lagrange inversion formula. For the converse we discuss Gessel–Viennot theory to express Hankel determinants in terms of various cumulants.
Keywords
Continued fractions , Hankel determinants , orthogonal polynomials , Cumulants , Motzkin paths , Lattice path combinatorics , ?ukasiewicz paths
Journal title
Discrete Mathematics
Serial Year
2003
Journal title
Discrete Mathematics
Record number
949275
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