The analytical solutions of the N-dimensional Schrodinger equation withposition-dependent mass for a general class of central potentials is obtainedvia the series expansion method. The position-dependent mass is expanded inseries about origin. As a special case, the analytical bound-state seriessolutions and the recursion relation of the linear-plus-Coulomb (Cornell)potential with the decaying position-dependent mass m=m_{0}e^{-\lambda r} arealso found.
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机译：通过级数展开法，得到了一类与中心质量有关的，与位置有关的质量的N维Schrodinger方程的解析解。位置相关的质量围绕原点展开。作为一个特例，还找到了解析加键态级数解和线性加库仑（Cornell）势与位置相关的质量为m = m_ {0} e ^ {-\ lambda r}的递归关系。
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