Riccati Chain, Ramanujan's Differential Equations For Eisenstein Series and Chazy Flows

Partha Guha and Dieter Mayer
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Submission date: 28. Jul. 2008
Pages: 12
paper to appear (in press) in: Recent development in Nonlinear Dynamics, edited by M. Daniel et al, Narosa
MSC-Numbers: 58C20, 11C08
Keywords and phrases: Ramanujan's differential equation, riccati equation, Fa\'a di Bruno polynomial
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Abstract:
We establish a close relation between higher order Riccati equations and Faá di Bruno polynomial Ramanujan's differential equations connected to modular forms.