Heun Functions and Some of Their Applications in Physics

  title={Heun Functions and Some of Their Applications in Physics},
  author={M. Hortaçsu},
  journal={Advances in High Energy Physics},
  • M. Hortaçsu
  • Published 3 January 2011
  • Physics, Mathematics
  • Advances in High Energy Physics
Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric equations often suffice to describe the system studied. These equations have power series solutions with simple relations between consecutive coefficients and/or can be represented in terms of simple integral transforms. If the problem is nonlinear, one often uses one form of the Painlevé equations… 


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