Generalised elliptic functions

  title={Generalised elliptic functions},
  author={Matthew England and C. Athorne},
  journal={Central European Journal of Mathematics},
  • Matthew England, C. Athorne
  • Published 2011
  • Mathematics, Physics
  • Central European Journal of Mathematics
  • We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstraß ℘-function using two different approaches. These functions arise naturally as solutions to some of the important equations of mathematical physics and their differential equations, addition formulae, and applications have all been recent topics of study.The first approach… CONTINUE READING

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