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Il Nuovo Cimento B (1971-1996)

, Volume 107, Issue 4, pp 443–452 | Cite as

Transformations between two normal differential equations. Application to the bessel functions

  • R. Pons
  • B. Léauté
  • G. Marcilhacy
Article
  • 19 Downloads

Summary

We extend Chandrasekhar’s black-hole transformation which concerns the transformation between two normal linear differential equations. We use the properties of the corresponding Riccati’s equations and of Schwarzian’s derivative to find a new correspondence between these normal equations.

PACS 02.30.Hq

Ordinary differential equations 

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References

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Copyright information

© Società Italiana di Fisica 1992

Authors and Affiliations

  • R. Pons
    • 1
  • B. Léauté
    • 2
  • G. Marcilhacy
    • 2
  1. 1.Physique Mathématique des PlasmasUniversité P. et M. CurieParis Cedex 05France
  2. 2.URA au C.N.R.S. n° 769, Université P. et M. CurieInstitut Henri PoincaréParis Cedex 05France

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