【摘要】 作者证明了对任意正数λ,正整数q₁和q₂,记E₁={argz=θ_j|0≤θ₁<θ₂<…<θ_q1<2π},E₂={argz=φ_j|0≤φ₁<φ₂<…<φ_q2<2π},使得E₁∩E₂=。则（ⅰ）存在单位圆内的λ级亚纯函数f（z）,恰以E₁∪E₂为其T-半径且恰以E₂为其Borel半径,（ⅱ）存在单位圆内级和下级均为λ的亚纯函数g（z）,恰以E₁∪E₂为其Borel半径且恰以E₂为其T-半径。更多还原

【Abstract】 Let λ be a positive number, q₁ and q₂ be positive integers. Assume that E₁= {argz=θ_j|0≤θ₁<θ₂<…<θ_q1<2π} and E₂={argz=φ_j|0≤φ₁<φ₂<…<φ_q2<2π} such that E₁∩E₂=. Then （ⅰ） there exists a meromorphic function f（z） of order λ in the unit disc, which takes the E₁∩E₂ as its T-radii and E₂ as its Borel radii, （ⅱ） there exists a meromorphic function g（z） of order and lower order λ in the unit disc, which takes the E₁∪E₂ as its Borel radii and E₂ as its T-radii.更多还原