Abstract
A turning point method for difference equations is developed. This method is coupled with the LG-WKB method via matching to provide approximate solutions to the initial value problem. The techniques developed are used to provide strong asymptotics for Hermite polynomials.
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Geronimo, J.S., Bruno, O., Van Assche, W. (2004). WKB and Turning Point Theory for Second-order Difference Equations. In: Janas, J., Kurasov, P., Naboko, S. (eds) Spectral Methods for Operators of Mathematical Physics. Operator Theory: Advances and Applications, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7947-7_7
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DOI: https://doi.org/10.1007/978-3-0348-7947-7_7
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