1 citations · 5 across the 16 of their papers we have counts for
16 papers
Andre Permutation Calculus; a Twin Seidel Matrix Sequence
Dominique Foata, Guo-Niu Han
Entringer numbers occur in the André permutation combinatorial set-up under several forms. This leads to the construction of a matrix-analog refinement of the tangent (resp. secant…
Multivariable Tangent and Secant q-derivative Polynomials
Dominique Foata, Guo-Niu Han
The derivative polynomials introduced by Knuth and Buckholtz in their calculations of the tangent and secant numbers are extended to a multivariable --environment. The -th $q…
Secant Tree Calculus
Dominique Foata, Guo-Niu Han
A true Tree Calculus is being developed to make a joint study of the two statistics "eoc" (end of minimal chain) and "pom" (parent of maximum leaf) on the set of secant trees. Thei…
Tree Calculus for Bivariable Difference Equations
Dominique Foata, Guo-Niu Han
Following Poupard's study of strictly ordered binary trees with respect to two parameters, namely, "end of minimal chain" and "parent of maximum leaf" a true Tree Calculus is being…
Finite Difference Calculus for Alternating Permutations
Dominique Foata, Guo-Niu Han
The finite difference equation system introduced by Christiane Poupard in the study of tangent trees is reinterpreted in the alternating permutation environment. It makes it possib…
Fix-Mahonian Calculus III; a Quadruple Distribution
Dominique Foata, Guo-Niu Han
A four-variable distribution on permutations is derived, with two dual combinatorial interpretations. The first one includes the number of fixed points "fix", the second the so-cal…