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Application of the Combined Nonlinear-Condensation Transformation to Problems in Statistical Analysis and Theoretical Physics

Published

Author(s)

S V. Aksenov, M A. Savageau, U Jentschura, J Becher, G Soff, Peter Mohr

Abstract

We discuss several applications of the recently proposed combined nonlinear-condensation transformation (CNCT) for 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.
Citation
Computer Physics Communications
Volume
150
Issue
No. 1

Keywords

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

Citation

Aksenov, S. , Savageau, M. , Jentschura, U. , Becher, J. , Soff, G. and Mohr, P. (2003), Application of the Combined Nonlinear-Condensation Transformation to Problems in Statistical Analysis and Theoretical Physics, Computer Physics Communications (Accessed June 23, 2024)

Issues

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Created December 31, 2002, Updated October 12, 2021