Add to ORKGIn this paper, we prove that the Stirling numbers of both kinds can be written as sums over integer partitions. As corollaries, we rewrite some identities with Stirling numbers of both kinds without Stirling numbers.Keywords: Integer partitions, symmetric functions, Stirling number
The combinatorial role of unsigned Stirling and Lah numbers is reexamined in connection with ordinar...
Stirling numbers, which count partitions of a set and permutations in the symmetric group, have foun...
AbstractThe r-Stirling numbers of the first and second kind count restricted permutations and respec...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
The connection between P(m, n), the number of partitions of a set containing m elements as a disjoin...
Abstract. In this paper, we propose the another yet generalization of Stirling numbers of the rst ki...
AbstractMultirestricted Stirling numbers of the second kind count the number of partitions of a give...
Multirestricted Stirling numbers of the second kind count the number of partitions of a given set in...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
Abstract. A large number of sequences of polynomials and num-bers have arisen in mathematics. Some o...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
A symmetric sum involving the Stirling numbers of the first kind is obtained in the process of count...
AbstractBased on finite set partitions, we introduce restrictions to the distances among the element...
AbstractWe partially characterize the rational numbers x and integers n ⩾ 0 for which the sum ∑k=0∞ ...
The combinatorial role of unsigned Stirling and Lah numbers is reexamined in connection with ordinar...
Stirling numbers, which count partitions of a set and permutations in the symmetric group, have foun...
AbstractThe r-Stirling numbers of the first and second kind count restricted permutations and respec...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
The connection between P(m, n), the number of partitions of a set containing m elements as a disjoin...
Abstract. In this paper, we propose the another yet generalization of Stirling numbers of the rst ki...
AbstractMultirestricted Stirling numbers of the second kind count the number of partitions of a give...
Multirestricted Stirling numbers of the second kind count the number of partitions of a given set in...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
Abstract. A large number of sequences of polynomials and num-bers have arisen in mathematics. Some o...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
A symmetric sum involving the Stirling numbers of the first kind is obtained in the process of count...
AbstractBased on finite set partitions, we introduce restrictions to the distances among the element...
AbstractWe partially characterize the rational numbers x and integers n ⩾ 0 for which the sum ∑k=0∞ ...
The combinatorial role of unsigned Stirling and Lah numbers is reexamined in connection with ordinar...
Stirling numbers, which count partitions of a set and permutations in the symmetric group, have foun...
AbstractThe r-Stirling numbers of the first and second kind count restricted permutations and respec...