DOIAbstract
AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n} for s < p. Here S(n, k) is a Stirling number of the second kind
AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n} for s < p. Here S(n, k) is a Stirling number of the second kind
Say that an integer n is exceptional if the maximum Stirling number of the second kind S(n, k) occur...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} whic...
We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of bino...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
The connection between P(m, n), the number of partitions of a set containing m elements as a disjoin...
AbstractWe partially characterize the rational numbers x and integers n ⩾ 0 for which the sum ∑k=0∞ ...
AbstractWe first find inequalities between the Stirling numbers S(n, r) for fixed n, then introduce ...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
numbers, and let { } denote Stirling numbers of the second kind. Show that n∑ j=
AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<...
AbstractIn this paper we give a combinatorial interpretation of two classes of generalized Stirling ...
Say that an integer n is exceptional if the maximum Stirling number of the second kind S(n, k) occur...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} whic...
We characterize the Stirling numbers of the second kind S(n, k) modulo prime powers in terms of bino...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
AbstractWe prove a version of Hensel′s Lemma which applies to analytic functions on the p-adic integ...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
The connection between P(m, n), the number of partitions of a set containing m elements as a disjoin...
AbstractWe partially characterize the rational numbers x and integers n ⩾ 0 for which the sum ∑k=0∞ ...
AbstractWe first find inequalities between the Stirling numbers S(n, r) for fixed n, then introduce ...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
numbers, and let { } denote Stirling numbers of the second kind. Show that n∑ j=
AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<...
AbstractIn this paper we give a combinatorial interpretation of two classes of generalized Stirling ...
Say that an integer n is exceptional if the maximum Stirling number of the second kind S(n, k) occur...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} whic...
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