A. Ya. Kazakov, “Integral symmetry for the confluent Heun equation with added apparent singularity”, Zap. Nauchn. Sem. POMI, 2014, Volume 426,Pages <nobr>34

This article is cited in 5 papers

Integral symmetry for the confluent Heun equation with added apparent singularity

A. Ya. Kazakov^ab

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

Abstract: Confluent Heun equation with added apparent singular point is under consideration. New integral transform connecting solutions of this equation with different parameters is obtained. Kernel of this transform is a suitable solution of the confluent hypergeometric equation.

Key words and phrases: confluent Heun equation, apparent singularity, integral transform, monodromy.

UDC: 550.24

Received: 30.09.2014