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.
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页码：1360 / 1363
页数：4
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