Ultradiscrete limit of the spectral polynomial of the q-Heun equation

2018/11/28 by Kojima, Kentaro, Sato, Tsukasa, Takemura, Kouichi
#30C15 #33E10 #39A13 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1811.11677

Abstract

It is known that the q-Heun equation has polynomial-type solutions in some special cases, and the condition for the accessory parameter E is described by the roots of the spectral polynomial. We investigate the spectral polynomial by considering the ultradiscrete limit.

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