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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
Pub Type
Journals
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 October 10, 2025)