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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
49/2008

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

Partha Guha and Dieter Mayer

Abstract

We establish a close relation between higher order Riccati equations and Faá di Bruno polynomial Ramanujan's differential equations connected to modular forms.

Received:
28.07.08
Published:
29.07.08
MSC Codes:
58C20, 11C08
Keywords:
Ramanujan's differential equation, riccati equation, Fa\'a di Bruno polynomial

Related publications

Preprint
2008 Repository Open Access
Partha Guha and Dieter Mayer

Riccati chain, Ramanujan's differential equations for Eisenstein series and Chazy flows