Partial degenerate Stirling numbers are introduced as combinations of degenerate and incomplete Stirling numbers of the second kind, with combinatorial interpretations and asymptotic formulas derived.
Carlitz, Weighted Stirling numbers of the first and second kind I,Fibonacci Quart.18(2)(1980), 147–162
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Partial degenerate Stirling numbers
Partial degenerate Stirling numbers are introduced as combinations of degenerate and incomplete Stirling numbers of the second kind, with combinatorial interpretations and asymptotic formulas derived.