Estimating the Somos' quadratic recurrence constant

被引：19

作者：

Mortici, Cristinel ^{[1
]}

机构：

[1] Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania

来源：

JOURNAL OF NUMBER THEORY | 2010年 / 130卷 / 12期

关键词：

Somos' constant; Inequalities; Generalized Euler constant;

D O I：

10.1016/j.jnt.2010.06.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Text. The aim of this paper is to provide some estimates about the Somos' quadratic recurrence constant, using its relation with the generalized Euler constant. Video. For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=3QjmHit3mC4. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2650 / 2657

页数：8

共 8 条

[1]

[Anonymous], SEVERAL CONSTA UNPUB

[2]

[Anonymous], ANN U FERRARA

[3]

Finch Steven R, 2003, Mathematical Constants

[4] Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent [J].

Guillera, Jesus ;

Sondow, Jonathan .

RAMANUJAN JOURNAL, 2008, 16 (03) :247-270

[5] Arithmetical properties of some series with logarithmic coefficients [J].

Pilehrood, Khodabakhsh Hessami ;

Pilehrood, Tatiana Hessami .

MATHEMATISCHE ZEITSCHRIFT, 2007, 255 (01) :117-131

[6]

Ramanujan S., 2000, Collected Papers of Srinivasa Ramanujan

[7]

SLOANE NJA, 1924, SEQUENCES A052129 A1

[8] The generalized-Euler-constant function γ (z) and a generalization of Sornos's quadratic recurrence constant [J].

Sondow, Jonathan ;

Hadjicostas, Petros .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) :292-314

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