TY - JOUR
T1 - Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics
AU - Aksenov, Sergej V.
AU - Savageau, Michael A.
AU - Jentschura, Ulrich D.
AU - Becher, Jens
AU - Soff, Gerhard
AU - Mohr, Peter J.
PY - 2003/11/15
Y1 - 2003/11/15
N2 - 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.
AB - 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.
KW - Computational techniques
KW - DNA
KW - Folding and sequence analysis
KW - Numerical approximation and analysis
KW - RNA
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U2 - 10.1016/S0010-4655(02)00627-6
DO - 10.1016/S0010-4655(02)00627-6
M3 - Article
AN - SCOPUS:0037448182
VL - 150
SP - 1
EP - 20
JO - Computer Physics Communications
JF - Computer Physics Communications
SN - 0010-4655
IS - 1
ER -