Approximation properties related to the Bell polynomials

被引：2
作者：
Gavrea, Ioan [1 ]
Ivan, Mircea [1 ]
机构：
[1] Tech Univ Cluj Napoca, Dept Math, St Memorandumului 28, Cluj Napoca 400114, Romania
来源：
CONSTRUCTIVE MATHEMATICAL ANALYSIS | 2021年 / 4卷 / 02期
关键词：
Asymptotic expansions; Bell polynomials;
D O I：
10.33205/cma.861342
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors provide a complete asymptotic expansion for a class of functions in terms of the complete Bell polynomials. In particular, they obtain known asymptotic expansions of some Keller type sequences.
引用
收藏
页码：253 / 259
页数：7
相关论文
共 12 条
  • [1] Alzer H, 2002, ANN ACAD SCI FENN-M, V27, P445
  • [2] New closed-form approximations to the logarithmic constant e
    Brothers, HJ
    Knox, JA
    [J]. MATHEMATICAL INTELLIGENCER, 1998, 20 (04) : 25 - 29
  • [3] Comtet L, 1974, Advanced Combinatorics
  • [4] Finch Steven R., 2003, Mathematical Constants, V94
  • [5] On the Keller limit and generalization
    Hu, Yue
    Mortici, Cristinel
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [6] Knox J. A, 1999, College Math. J., V30, P269
  • [7] Maor Eli.E., 2009, The Story of a Number
  • [8] Mortici C, 2014, arXiv
  • [9] Estimates of (1+x)1/x Involved in Carleman's Inequality and Keller's Limit
    Mortici, Cristinel
    Jang, X. -J.
    [J]. FILOMAT, 2015, 29 (07) : 1535 - 1539
  • [10] Riordan J., 1958, Wiley Publications in Mathematical Statistics
12