The Mathematica Journal
Volume 9, Issue 2

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Trott's Corner
Michael Trott

Modular Equations of the Rogers-Ramanujan Continued Fraction

In this issue's Corner, we will define and investigate the Rogers-Ramanujan continued fraction. Using high-order series expansions and modular linear algebra allows us to find new two and three-power modular equations for the Rogers-Ramanujan continued fraction. Using the function Recognize allows us to determine exact algebraic values for arguments of the form .

*Notebook


*PDF


*HTML

  *Introduction

  *Visualizations

  *Modular Equations

  *Exact Values

  *References

 
Michael Trott
Special Functions Developer
Wolfram Research, Inc.
mtrott@wolfram.com


     
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