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Corpus ID: 118512467

On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations

@article{Chiang2013OnCO,
title={On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations},
author={Y. Chiang and G. Yu},
journal={arXiv: Classical Analysis and ODEs},
year={2013}
}

Biconfluent Heun equation (BHE) is a confluent case of the general Heun equation which has one more regular singular points than the Gauss hy- pergeometric equation on the Riemann sphere ˆ. Motivated by a Nevanlinna theory (complex oscillation theory) approach, we have established a theory of periodic BHE (PBHE) in parallel with the Lame equation verses the Heun equation, and the Mathieu equation verses the confluent Heun equation. We have established condition that lead to explicit… CONTINUE READING