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 language | English (US) |
|---|---|
| Pages (from-to) | 1-20 |
| Number of pages | 20 |
| Journal | Computer Physics Communications |
| Volume | 150 |
| Issue number | 1 |
| DOIs | |
| State | Published - Nov 15 2003 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics
AU - Aksenov, Sergej V.
AU - Savageau, Michael A.
AU - Jentschura, Ulrich D.
AU - Becher, Jens
AU - Soff, Gerhard
AU - Mohr, Peter J.
PY - 2003/11/15
Y1 - 2003/11/15
N2 - 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.
AB - 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.
KW - Computational techniques
KW - DNA
KW - Folding and sequence analysis
KW - Numerical approximation and analysis
KW - RNA
UR - http://www.scopus.com/inward/record.url?scp=0037448182&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037448182&partnerID=8YFLogxK
U2 - 10.1016/S0010-4655(02)00627-6
DO - 10.1016/S0010-4655(02)00627-6
M3 - Article
AN - SCOPUS:0037448182
VL - 150
SP - 1
EP - 20
JO - Computer Physics Communications
JF - Computer Physics Communications
SN - 0010-4655
IS - 1
ER -