A. Ya. Kazakov, S. Yu. Slavyanov, “Representations and use of symbolic computations in the theory of Heun equations”, Zap. Nauchn. Sem. POMI, 2015, Volume 432,Pages <nobr>162

This article is cited in 2 papers

Representations and use of symbolic computations in the theory of Heun equations

A. Ya. Kazakov^ab, S. Yu. Slavyanov^c

^a St. Petersburg State University of Technology and Design, St. Petersburg, Russia
^b St. Petersburg State University of AeroSpace Instrumentation, St. Petersburg, Russia
^c St. Petersburg State University, St. Petersburg, Russia

Abstract: A first-order $2\times2$ system equivalent to the Heun equation is obtained. A deformed Heun equation in symmetric form is presented. Series solutions of this equation are presented. A four-parameter subfamily of deformed confluent Heun equation whose solutions have integral representations is found.

Key words and phrases: Heun equation, deformed Heun equation, confluent Heun equation, apparent singularity, integral representations.

UDC: 517.289+517.923+517.926

Received: 21.10.2014

Language: English