AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<S(n,Kn)≥S(n,Kn+1). Using a probabilistic argument, we show that, for all n≥2, ⌊ew(n)⌋−2≤Kn≤⌊ew(n)⌋+1, where ⌊x⌋ denotes the integer part of x, and w(n) denotes Lambert’s W function
We present new proofs for some summation identities involving Stirling numbers of both first and sec...
AbstractThe domains of the Stirling numbers of both kinds are extended from N2 to Z2. These extensio...
We give explicit upper and lower bounds for a large subset of Comtet numbers sa(n, m) of the first k...
AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<...
The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>...
The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>...
The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>...
Stirling numbers of the second kind, S(n, r), denote the number of partitions of a finite set of siz...
AbstractDetermining the location of the maximum of Stirling numbers is a well-developed area. In thi...
In this paper, we investigate some combinatorial sequences based on the generalized Stirling numbers...
AbstractWe first find inequalities between the Stirling numbers S(n, r) for fixed n, then introduce ...
AbstractUsing probabilistic arguments, we derive a sequence of polynomials in one variable which gen...
The Stirling number of the second kind, S(n, k), enumerates the ways that n distinct objects can be ...
In this paper we introduce and investigate moment generating Stirling numbers of the first kind, "`M...
AbstractA technique is illustrated for finding an estimate of the Stirling numbers of the second kin...
We present new proofs for some summation identities involving Stirling numbers of both first and sec...
AbstractThe domains of the Stirling numbers of both kinds are extended from N2 to Z2. These extensio...
We give explicit upper and lower bounds for a large subset of Comtet numbers sa(n, m) of the first k...
AbstractLet S(n,k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn−1)<...
The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>...
The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>...
The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>...
Stirling numbers of the second kind, S(n, r), denote the number of partitions of a finite set of siz...
AbstractDetermining the location of the maximum of Stirling numbers is a well-developed area. In thi...
In this paper, we investigate some combinatorial sequences based on the generalized Stirling numbers...
AbstractWe first find inequalities between the Stirling numbers S(n, r) for fixed n, then introduce ...
AbstractUsing probabilistic arguments, we derive a sequence of polynomials in one variable which gen...
The Stirling number of the second kind, S(n, k), enumerates the ways that n distinct objects can be ...
In this paper we introduce and investigate moment generating Stirling numbers of the first kind, "`M...
AbstractA technique is illustrated for finding an estimate of the Stirling numbers of the second kin...
We present new proofs for some summation identities involving Stirling numbers of both first and sec...
AbstractThe domains of the Stirling numbers of both kinds are extended from N2 to Z2. These extensio...
We give explicit upper and lower bounds for a large subset of Comtet numbers sa(n, m) of the first k...
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