Asymptotic analysis of generalized Hermite polynomials
نویسنده
چکیده
We analyze the polynomials H n(x) considered by Gould and Hopper, which generalize the classical Hermite polynomials. We present the main properties of H n(x) and derive asymptotic approximations for large values of n from their differential-difference equation, using a discrete ray method. We give numerical examples showing the accuracy of our formulas.
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تاریخ انتشار 2008