Xu, Hong-Yan; Yi, Cai-Feng; Cao, Ting-Bin On proximate order and type function of Laplace-Stieltjes transformations convergent in the right half-plane. (English) Zbl 1269.30033 Math. Commun. 17, No. 2, 355-369 (2012). The authors introduce the proximate order and type-function for analytic functions of finite order represented by Laplace-Stieltjes transformations \(F(s)=\int_{0}^{+\infty}e^{-sy}d\alpha(y), \;s=\sigma+it\), which is convergent only in the right half-plane, give two necessary and sufficient conditions and investigate the growth of such functions. Reviewer: Yinying Kong (Guangzhou) Cited in 5 Documents MSC: 30D15 Special classes of entire functions of one complex variable and growth estimates 44A10 Laplace transform Keywords:Laplace-Stieltjes transformation; proximate order; type function PDFBibTeX XMLCite \textit{H.-Y. Xu} et al., Math. Commun. 17, No. 2, 355--369 (2012; Zbl 1269.30033) Full Text: Link