Abstract. In the paper, by establishing a new and explicit formula for computing the n-th derivative of the reciprocal of the logarithmic function, the author presents new and explicit formulas for calculating Bernoulli numbers of the second kind and Stirling numbers of the first kind. As consequences of these formulas, a recursion for Stirling numbers of the first kind and a new representation of the reciprocal of the factorial n! are derived. Finally, the author finds several identities and integral representations relating to Stirling numbers of the first kind. 1
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
Abstract. In this paper we give the new explicit expression for the numbers cnk treated by Mijajlovi...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
AbstractIn this paper we prove some identities involving Bernoulli and Stirling numbers, relation fo...
In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the firs...
Abstract In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind ...
AbstractStarting with two little-known results of Saalschütz, we derive a number of general recurren...
In the paper, the authors find several identities, including a new recurrence relation for the Stirl...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
This book is a unique work which provides an in-depth exploration into the mathematical expertise, p...
Abstract. A large number of sequences of polynomials and num-bers have arisen in mathematics. Some o...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based ...
In this article, we derive representation formulas for a class of r-associated Stirling numbers of t...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
Abstract. In this paper we give the new explicit expression for the numbers cnk treated by Mijajlovi...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...
AbstractIn this paper we prove some identities involving Bernoulli and Stirling numbers, relation fo...
In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the firs...
Abstract In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind ...
AbstractStarting with two little-known results of Saalschütz, we derive a number of general recurren...
In the paper, the authors find several identities, including a new recurrence relation for the Stirl...
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from mic...
This book is a unique work which provides an in-depth exploration into the mathematical expertise, p...
Abstract. A large number of sequences of polynomials and num-bers have arisen in mathematics. Some o...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
AbstractIn Part I, Stirling numbers of both kinds were used to define a binomial (Laurent) series of...
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based ...
In this article, we derive representation formulas for a class of r-associated Stirling numbers of t...
This article introduces a remarkable class of combinatorial numbers, the Stirling set numbers. They...
Abstract. In this paper we give the new explicit expression for the numbers cnk treated by Mijajlovi...
AbstractWe generalize the Stirling numbers of the first kind s(a, k) to the case where a may be an a...