Modified Bessel Functions of Fractional Order
نویسندگان
چکیده
منابع مشابه
Asymptotics of Modified Bessel Functions of High Order
In this work, we present two sets of full asymptotic expansions for the modified Bessel functions Iν(z) and Kν(z) and a full asymptotic expansion for Iν(z)Kν(z) as ν → ∞ and z is fixed with | arg z| < π. In particular, we show that Iν(z) ∼ (12z) ν Γ(ν + 1) ∞ ∑ m=0 bm(z) νm as ν → ∞, | arg ν| ≤ π − δ, and Kν(z) ∼ 1 2 Γ(ν) (12z) ν ∞ ∑ m=0 (−1) bm(z) νm as ν → ∞, | arg ν| ≤ 12π − δ, where, for eac...
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ژورنال
عنوان ژورنال: Computers in Physics
سال: 1991
ISSN: 0894-1866
DOI: 10.1063/1.4822991