On Asymptotics, Stirling Numbers, Gamma Function and Polylogs

Congruences on Stirling Numbers and Eulerian Numbers

In this paper, we establish some Fleck-Weisman type congruences for the Stirling numbers and the Eulerian numbers.

Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals

and Applied Analysis 3 and continuing like that to S8. For large n this method is not convenient. However, later that year Ligowski 4 suggested a better method, providing a generating function for the numbers Sn: e z ∞ ∑ k 0 e k! ∞ ∑ k 0 ∞ ∑ n 0 k k! z n! ∞ ∑ n 0 Sn z n! . 2.4 Further, an effective iteration formula was found Sn n−1 ∑ j 0 ( n − 1 j ) Sj 2.5 by which every Sn can be evaluated st...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Stirling Numbers and Generalized Zagreb Indices

We show how generalized Zagreb indices $M_1^k(G)$ can be computed by using a simple graph polynomial and Stirling numbers of the second kind. In that way we explain and clarify the meaning of a triangle of numbers used to establish the same result in an earlier reference.

Stirling Numbers and Records