已有结果 Bessel方程(约定Rev≥0) 1d「da(2) ed d u(z)=0 Bessel方程有两个奇点:z=0(正则奇点)和 2=0(非正则奇点) 在正则奇点2=0处,指标P 程的两个(线性无关Bessel ftns & Neumann ftns Properties of Bessel ftns with Integer Order Fundamental Solutions to Bessel Equation Recurrence Relations Asymptotic Expansion ®k(J Bessel§(½Re ν ≥ 0) 1 z d dz z dw(z) dz + 1 − ν 2 z 2 w(z) = 0 Bessel§küÛ:µz = 0(KÛ:)Ú z = ∞(KÛ:) 3KÛ:z = 0?§Iρ = ±ν ν 6= ê§Bessel§ü(5Ã') K)´ J±ν(z) = X ∞ k=0 (−) k k!Γ (k ± ν + 1) z 2 2k±ν C. S. Wu 1Êù μê()