The complete evaluation of Rogers Ramanujan and other continued fractions with elliptic functions - Mathematics > General MathematicsReport as inadecuate




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Abstract: In this article we present evaluations of continued fractions studied byRamanujan. More precisely we give the complete polynomial equations ofRogers-Ramanujan and other continued fractions, using tools from the elementarytheory of the Elliptic functions. We see that all these fractions are roots ofpolynomials with coeficients depending only on the inverse elliptic nome-q andin some cases the Elliptic Integral-K. In most of simplifications of formulaswe use Mathematica.



Author: Nikos Bagis

Source: https://arxiv.org/







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