A conjecture concerning a completely monotonic function

被引：5

作者：

Shemyakova, E. ^{[2
]}

Khashin, S. I. ^{[3
]}

Jeffrey, D. J. ^{[1
]}

机构：

[1] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B9, Canada

[2] Johannes Kepler Univ Linz, Symbol Computat Res Inst, A-4040 Linz, Austria

[3] Ivanovo State Univ, Dept Math, Ivanovo 153377, Russia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 05期

关键词：

Completely monotonic function; Experimental mathematics;

D O I：

10.1016/j.camwa.2010.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the basis of a sequence of numerical computations, a conjecture is presented regarding the class of functions H(x; a) = exp(a) - (1 + a/x)(x), and the open problem of determining the values of a for which the functions are completely monotonic with respect to x. The critical value of a is determined here to sufficient accuracy to show that it is not a simple symbolic quantity. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1360 / 1363

页数：4