Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics

被引：22

作者：

Aksenov, SV

Savageau, MA

Jentschura, UD

Becher, J

Soff, G

Mohr, PJ

机构：

[1] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany

[2] Univ Michigan, Dept Microbiol & Immunol, Ann Arbor, MI 48109 USA

[3] Univ Cambridge, Dept Zool, Cambridge CB2 3EJ, England

[4] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany

[5] Natl Inst Stand & Technol, Gaithersburg, MD 20899 USA

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2003年 / 150卷 / 01期

基金：

美国国家卫生研究院;

关键词：

computational techniques; numerical approximation and analysis; DNA; RNA; folding and sequence analysis;

D O I：

10.1016/S0010-4655(02)00627-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We discuss several applications of the recently proposed combined nonlinear-condensation transformation (CNCT) for the evaluation of slowly convergent, nonalternating series. These include certain statistical distributions which are of importance in linguistics, statistical-mechanics theory, and biophysics (statistical analysis of DNA sequences). We also discuss applications of the transformation in experimental mathematics, and we briefly expand on further applications in theoretical physics. Finally, we discuss a related Mathematica program for the computation of Lerch's transcendent. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：1 / 20

页数：20

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