Mixed restricted Stirling numbers

被引：4

作者：

Barati, S. ^{[1
]}

Benyi, B. ^{[2
]}

Jafarzadeh, A. ^{[1
]}

Yaqubi, D. ^{[3
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Razavi Khorasan, Iran

[2] Natl Univ Publ Serv, Fac Water Sci, Budapest, Hungary

[3] Univ Torbat E Jam, Fac Agr & Anim Sci, Torbat E Jam, Iran

来源：

ACTA MATHEMATICA HUNGARICA | 2019年 / 158卷 / 01期

关键词：

multiplicative partition function; Stirling number of the second kind; mixed partition of a set;

D O I：

10.1007/s10474-019-00915-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate mixed partitions with extra condition on the sizes of the blocks. We give a general formula and the generating function. We consider in more details a special case, determining the generating functions, some recurrences and a connection to r-Stirling numbers. To obtain our results, we use pure combinatorial arguments, classical manipulations of generating functions and to derive the generating functions we apply the symbolic method.

引用

页码：159 / 172

页数：14

共 17 条

[11] Flajolet Philippe., 2009, Analytic Combinatorics
[12] HOWARD FT, 1980, FIBONACCI QUART, V18, P303
[13] Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers
Komatsu, Takao
Liptai, Kalman
Mezo, Istvan
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 88 (3-4): : 357 - 368
[14] Mansour Toufik, 2012, COMBINATORICS SET PA
[15] Miksa F.L., 1958, CANAD MATH B, V1, P87, DOI 10.4153/CMB-1958-010-2
[16] Sloane N.J.A., 2018, The on-line encyclopedia of integer sequences
[17] Some limit theorems with respect to constrained permutations and partitions
Wang, Chenying
Mezo, Istvan
[J]. MONATSHEFTE FUR MATHEMATIK, 2017, 182 (01): : 155 - 164

← 1 2 →