Asymptotics of modified Bessel functions of high order (original) (raw)

International Journal of Pure and Applied Mathematics

Abstract

In this work, we present two sets of full asymptotic expansions for the modified Bessel functions I ν (z) and K ν (z) and a full asymptotic expansion for I ν (z)K ν (z) as ν → ∞ and z is fixed with | arg z| < π. In particular, we show that

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