ON THE COEFFICIENTS OF AN ASYMPTOTIC EXPANSION RELATED TO SOMOS' QUADRATIC RECURRENCE CONSTANT

被引：12

作者：

Nemes, Gergoe ^{[1
]}

机构：

[1] Eotvos Lorand Univ, H-1117 Budapest, Hungary

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2011年 / 5卷 / 01期

关键词：

Asymptotic approximation; generating functions; recurrence relations;

D O I：

10.2298/AADM101115029N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the coefficients of an asymptotic expansion related to Somos' Quadratic Recurrence Constant. We develop recurrence relations and an asymptotic estimation for them. We also show that these coefficients are related to the Ordered Bell Numbers.

引用

页码：60 / 66

页数：7

共 7 条

[1] [Anonymous], SEVERAL CONSTA UNPUB
[2] BENDER EA, 1975, J LOND MATH SOC, V9, P451
[3] FINCII SR, 2003, MATH CONSTANTS
[4] Flajolet P., 2009, ANAL COMBINATORICS
[5] Odlyzko A.M., 1995, HDB COMBINATORICS, V2, P1063
[6] The generalized-Euler-constant function γ (z) and a generalization of Sornos's quadratic recurrence constant
Sondow, Jonathan
Hadjicostas, Petros
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) : 292 - 314
[7] Wilf H., 2006, Generatingfunctionology

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