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In this paper, we have considered the generalized bi-axially symmetric Schr?dinger equation ?~2φ/?x~2+?~2φ/?y~2+(2ν/x)?φ/?x+(2μ/y)?φ/?y+ {K~2- V(r)}φ = 0,where μ, ν≥ 0, and r V(r) is an entire function of r = +(x~2+ y~2)~(1/2) corresponding to a scatterin