
doi: 10.37236/5181
We describe the relation between graph decompositions into walks and the normal ordering of differential operators in the $n$-th Weyl algebra. Under several specifications, we study new types of restricted set partitions, and a generalization of Stirling numbers, which we call the $\lambda$-Stirling numbers.
set partitions, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Partitions of sets, \(q\)-calculus and related topics, differential operators, Bell and Stirling numbers, walks, Weyl algebra, Stirling numbers
set partitions, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Partitions of sets, \(q\)-calculus and related topics, differential operators, Bell and Stirling numbers, walks, Weyl algebra, Stirling numbers
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