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 |
Keywords
- Computational techniques
- DNA
- Folding and sequence analysis
- Numerical approximation and analysis
- RNA
ASJC Scopus subject areas
- Computer Science Applications
- Physics and Astronomy(all)
Fingerprint Dive into the research topics of 'Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics'. Together they form a unique fingerprint.
Cite this
Aksenov, S. V., Savageau, M. A., Jentschura, U. D., Becher, J., Soff, G., & Mohr, P. J. (2003). Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics. Computer Physics Communications, 150(1), 1-20. https://doi.org/10.1016/S0010-4655(02)00627-6