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

Sergej V. Aksenov, Michael A. Savageau, Ulrich D. Jentschura, Jens Becher, Gerhard Soff, Peter J. Mohr

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1-20
Number of pages20
JournalComputer Physics Communications
Volume150
Issue number1
DOIs
StatePublished - Nov 15 2003
Externally publishedYes

Fingerprint

theoretical physics
statistical analysis
Condensation
Statistical methods
Physics
condensation
physics
Biophysics
biophysics
linguistics
Statistical mechanics
DNA sequences
mathematics
statistical distributions
statistical mechanics
Linguistics
deoxyribonucleic acid
evaluation

Keywords

  • Computational techniques
  • DNA
  • Folding and sequence analysis
  • Numerical approximation and analysis
  • RNA

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics. / Aksenov, Sergej V.; Savageau, Michael A.; Jentschura, Ulrich D.; Becher, Jens; Soff, Gerhard; Mohr, Peter J.

In: Computer Physics Communications, Vol. 150, No. 1, 15.11.2003, p. 1-20.

Research output: Contribution to journalArticle

Aksenov, Sergej V. ; Savageau, Michael A. ; Jentschura, Ulrich D. ; Becher, Jens ; Soff, Gerhard ; Mohr, Peter J. / Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics. In: Computer Physics Communications. 2003 ; Vol. 150, No. 1. pp. 1-20.
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