Zobrazeno 1 - 10
of 57 385
pro vyhledávání: '"Stirling, P. A."'
Let $S_r(p,q)$ be the $r$-associated Stirling numbers of the second kind, the number of ways to partition a set of size $p$ into $q$ subsets of size at least $r$. For $r=1$, these are the standard Stirling numbers of the second kind, and for $r=2$, t
Externí odkaz:
http://arxiv.org/abs/2409.01489
Autor:
Sagan, Bruce E, Swanson, Joshua
In an earlier paper, we defined and studied q-analogues of the Stirling numbers of both types for the Coxeter group of type B. In the present work, we show how this approach can be extended to all irreducible complex reflection groups G. The Stirling
Externí odkaz:
http://arxiv.org/abs/2408.13874
Autor:
Koyanagi, Shoki, Tanimura, Yoshitaka
Publikováno v:
J. Chem. Phys. 161, 112501 (2024)
We developed a computer code for the thermodynamic quantum Fokker-Planck equations (T-QFPE), derived from a thermodynamic system-bath model. This model consists of an anharmonic subsystem coupled to multiple Ohmic baths at different temperatures, whi
Externí odkaz:
http://arxiv.org/abs/2408.01083
The generalized Stirling numbers of the second kind together with the Stirling numbers of the first kind are used to present a novel method to approximate the Riemann zeta function at integer values by rationals. We show that the error committed in s
Externí odkaz:
http://arxiv.org/abs/2407.07920
Autor:
Kim, Taekyun, Kim, Dae san
Assume that the moment generating function of the random vari able Y exists in a neighborhood of the origin. We introduce the probabilistic multi-Stirling numbers of the second kind associated with Y and the proba bilistic multi-Lah numbers associate
Externí odkaz:
http://arxiv.org/abs/2407.00061
Autor:
Kim, Taekyun, Kim, Dae san
Let Y be a random variable whose degenerate moment generating functions exist in some neighborhoods of the origin. The aim of this paper is to study the probabilistic degenerate Stirling numbers of the first kind associated with Y which are construct
Externí odkaz:
http://arxiv.org/abs/2406.06945
In the context of Stirling polynomials, Gessel and Stanley introduced the definition of Stirling permutation, which has attracted extensive attention over the past decades. Recently, we introduced Stirling permutation code and provided numerous equid
Externí odkaz:
http://arxiv.org/abs/2406.04211
Autor:
Kim, Taekyunj, Kim, Dae San
Assume that Y is a random variable whose moment generating function exists in a neighborhood of the origin. We study the probabilistic degenerate r-Stirling numbers of the second kind associated with Y and the probabilistic degenerate r-Bell polynomi
Externí odkaz:
http://arxiv.org/abs/2405.13323
Autor:
Dombrowski, Muhammad Adam
This paper proves why the Stirling numbers show up in a experimentally determined formula for the $k$-bonaccis. We develop a bijection between a previously determined summation formula for $k$-bonaccis and an experimentally determined formula, proven
Externí odkaz:
http://arxiv.org/abs/2407.18355
Autor:
Adell, José A.
We give explicit estimates for the Stirling numbers of the second kind $S(n,m)$. With a few exceptions, such estimates are asymptotically sharp. The form of these estimates varies according to $m$ lying in the central or non-central regions of $\{1,\
Externí odkaz:
http://arxiv.org/abs/2407.08246