Explicit multigraded generating functions, coefficient formulas including a multinomial Narayana refinement, and recurrences are derived for counting multi-operator monomials under commutative and noncommutative multiplication and operators.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Derives generating functions for inversions and descents over k-compositions of n by relating them via bijection to (maj,inv) and (inv,des) distributions on permutations of [k].
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Enumerating Multi-Operator Monomials in Commutative and Noncommutative Settings
Explicit multigraded generating functions, coefficient formulas including a multinomial Narayana refinement, and recurrences are derived for counting multi-operator monomials under commutative and noncommutative multiplication and operators.
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Distributions of Inversions and Descents over Integer Compositions
Derives generating functions for inversions and descents over k-compositions of n by relating them via bijection to (maj,inv) and (inv,des) distributions on permutations of [k].