• Corpus ID: 207780605

On the Form of Solutions of Fuchsian differential Equations with n regular singular Points

@article{Huber2019OnTF,
  title={On the Form of Solutions of Fuchsian differential Equations with n regular singular Points},
  author={Albert Huber},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
  • A. Huber
  • Published 4 November 2019
  • Mathematics
  • arXiv: Mathematical Physics
The form of the coefficients of power series expressions corresponding to solutions of Fuchsian differential equations (or their associated degenerated confluent forms) with n regular singular points is determined by solving the corresponding n-term recurrence relations in full generality. Some important special cases are discussed in which the solutions coincide with special functions of mathematical physics. 

The gravitational field of a massless particle on the horizon of a stationary black hole

  • A. Huber
  • Physics
    Classical and Quantum Gravity
  • 2019
In this work, the field of a gravitational shockwave generated by a massless point-like particle is calculated at the event horizon of a stationary Kerr–Newman black hole. Using the geometric

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