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

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Il Nuovo Cimento B (1971-1996)

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.

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Author notes

  1. R. Pons

    Present address: Physique Mathématique des Plasmas, Université P. et M. Curie, Tour 46-56, 504, 4, Place Jussieu, 75252, Paris Cedex 05, France

  2. B. Léauté & G. Marcilhacy

    Present address: URA au C.N.R.S. n° 769, Université P. et M. Curie, Institut Henri Poincaré, 11, rue P. et M. Curie, 75231, Paris Cedex 05, France

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    1. R. Pons
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    2. B. Léauté
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    3. G. Marcilhacy
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    Pons, R., Léauté, B. & Marcilhacy, G. Transformations between two normal differential equations. Application to the bessel functions. Nuov Cim B 107, 443–452 (1992). https://doi.org/10.1007/BF02726994

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    • DOI: https://doi.org/10.1007/BF02726994

    PACS 02.30.Hq

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