Physical problems admitting Heun-to-hypergeometric reduction

AYDINER P., Birkandan T.

International Conference Days on Diffraction, St Petersburg, Russia, 25 - 29 May 2015, pp.27-32 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/dd.2015.7354826
  • City: St Petersburg
  • Country: Russia
  • Page Numbers: pp.27-32
  • Istanbul Technical University Affiliated: Yes

Abstract

The Heun's equation and its confluent forms emerge in many physical applications. However, the literature related to the mathematical analysis of the Heun's equation is far from complete in comparison with the hypergeometric equation which is known in detail. As a result, studying the reduction methods from Heun to hypergeometric equation is substantial for understanding the physical system better. In this work, Maier's Heun-to-hypergeometric reduction cases are studied for several physical problems.