On Asymptotics, Stirling Numbers, Gamma Function and Polylogs
نویسندگان
چکیده
منابع مشابه
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.
متن کاملExponential 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...
متن کاملcompactifications 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...
15 صفحه اولStirling 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.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2006
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-006-0211-7