Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics

Sergej V. Aksenov; Michael A. Savageau; Ulrich D. Jentschura; Jens Becher; Gerhard Soff; Peter J. Mohr

doi:10.1016/S0010-4655(02)00627-6

Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics

Sergej V. Aksenov, Michael A. Savageau, Ulrich D. Jentschura, Jens Becher, Gerhard Soff, Peter J. Mohr

Research output: Contribution to journal › Article

21 Scopus citations

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	https://doi.org/10.1016/S0010-4655(02)00627-6
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

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

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AU - Soff, Gerhard

AU - Mohr, Peter J.

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10.1016/S0010-4655(02)00627-6