New expressions for the off-shell solutions of the Manning-Rosen potential are derived and make certain useful checks on their limiting behaviours to examine the correctness of our constructed expressions. The off-shell Jost function and the half-shell T-matrix thus obtained are found in order.

中文翻译：

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曼宁-罗森势的脱壳解决方案和半壳T矩阵

推导了曼宁-罗森势的壳外解的新表达式，并对它们的极限行为进行了某些有用的检查，以检验我们构造的表达式的正确性。依次获得由此获得的壳外Jost函数和半壳T矩阵。