Effective Laguerre Asymptotics
نویسندگان
چکیده
منابع مشابه
Effective Laguerre Asymptotics
It is known that the generalized Laguerre polynomials can enjoy subexponential growth for large primary index. In particular, for certain fixed parameter pairs (a, z) one has the large-n asymptotic behavior L(−a) n (−z) ∼ C(a, z)n−a/2−1/4e2 √ . We introduce a computationally motivated contour integral that allows efficient numerical Laguerre evaluations, yet also leads to the complete asymptoti...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2008
ISSN: 0036-1429,1095-7170
DOI: 10.1137/07068031x