Modular Equations and Evaluations of Ramanujan Quantities

Details Modular Equations and Evaluations of Ramanujan Quantities Modular Equations and Evaluations of Ramanujan Quantities

2011-07-13

arxiv.org/abs/1107.2393v1

Mathematics

General Mathematics

14 pages, Ramanujan, Continued fractions

Scientific paper

In this article we continue a previous work, in which we have generalized the Rogers Ramanujan continued fraction (RR) introducing what we call, the Ramanujan-Quantities (RQ). In the present paper we use the Mathematica package to give several modular equations for certain cases of Ramanujan Qunatities-(RQ). We give also new modular equations of degree 2 and 3 for the complete evaluation of the first derivative of (RR). Also for certain class of (RQ)'s we show how we can found the coresponding continued fraction expansions-S, in which we are able to evaluate with numerical methods some lower degree modular equations and values of this fraction.

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