Implementation of the Combined--Nonlinear Condensation Transformation

Preprint

10 July 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0207086

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.

Keywords

NONLINEAR CONDENSATION TRANSFORMATION
PROGRAM FOR THE COMPUTATION
STATISTICAL DISTRIBUTIONS
ANALYSIS OF DNA SEQUENCES
DNA SEQUENCES
LINGUISTICS
BIOPHYSICS

All Related Versions

Version 1, 2002-07-10, ArXiv
Published version: Computer Physics Communications, 150 (1), 1.

This publication has 0 references indexed in Scilit: