Conjecture concerning a completely monotonic function

Autor:	Shemyakova, E., Khashin, S. I., Jeffrey, D. J.
Rok vydání:	2010
Předmět:	Mathematics - Classical Analysis and ODEs 00A69
Druh dokumentu:	Working Paper
Popis:	Based on 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. Comment: accepted for publication in Computers and Mathematics with Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.1374 Zobrazit plný text záznamu View this record from Arxiv