Asymptotic analysis of generalized Hermite polynomials
نویسندگان
چکیده
منابع مشابه
Asymptotic analysis of generalized Hermite polynomials
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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ژورنال
عنوان ژورنال: Analysis
سال: 2008
ISSN: 0174-4747
DOI: 10.1524/anly.2008.0911