Pre stieltjes functions

Henrik Laurberg Pedersen

doi:10.1007/s00009-010-0043-2

Pre stieltjes functions

5 Citations (Scopus)

Abstract

In this paper we characterize the class C_k of functions f on (0,∞) for which f(x), . . ., (x^kf(x))^(k) are completely monotonic for given k. In the limit we obtain the well-known characterization of the class of Stieltjes functions as those functions f defined on the positive half line for which (x^kf(x))^(k) is completely monotonic on (0,∞) for all k ≥ 0.

Original language	English
Journal	Mediterranean Journal of Mathematics
Volume	8
Issue number	1
Pages (from-to)	113-122
Number of pages	10
ISSN	1660-5446
DOIs	https://doi.org/10.1007/s00009-010-0043-2
Publication status	Published - Mar 2011

Access to Document

10.1007/s00009-010-0043-2

Cite this

@article{7f87c6e3b6d840ed88b05f173f999699,

title = "Pre stieltjes functions",

abstract = "In this paper we characterize the class Ck of functions f on (0,∞) for which f(x), . . ., (xkf(x))(k) are completely monotonic for given k. In the limit we obtain the well-known characterization of the class of Stieltjes functions as those functions f defined on the positive half line for which (xkf(x))(k) is completely monotonic on (0,∞) for all k ≥ 0.",

author = "Pedersen, {Henrik Laurberg}",

year = "2011",

month = mar,

doi = "10.1007/s00009-010-0043-2",

language = "English",

volume = "8",

pages = "113--122",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Springer Basel AG",

number = "1",

}

TY - JOUR

T1 - Pre stieltjes functions

AU - Pedersen, Henrik Laurberg

PY - 2011/3

Y1 - 2011/3

N2 - In this paper we characterize the class Ck of functions f on (0,∞) for which f(x), . . ., (xkf(x))(k) are completely monotonic for given k. In the limit we obtain the well-known characterization of the class of Stieltjes functions as those functions f defined on the positive half line for which (xkf(x))(k) is completely monotonic on (0,∞) for all k ≥ 0.

AB - In this paper we characterize the class Ck of functions f on (0,∞) for which f(x), . . ., (xkf(x))(k) are completely monotonic for given k. In the limit we obtain the well-known characterization of the class of Stieltjes functions as those functions f defined on the positive half line for which (xkf(x))(k) is completely monotonic on (0,∞) for all k ≥ 0.

U2 - 10.1007/s00009-010-0043-2

DO - 10.1007/s00009-010-0043-2

M3 - Journal article

SN - 1660-5446

VL - 8

SP - 113

EP - 122

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 1

ER -

Pre stieltjes functions

Abstract

Access to Document

Fingerprint

Cite this