The eigenvalues of the potentials $V_{1}(r)=frac{A_{1}}{r}+frac{A_{2}}{r^{2}}+frac{A_{3}}{r^{3}}+frac{A_{4 }}{r^{4}}$ and $V_{2}(r)=B_{1}r^{2}+frac{B_{2}}{r^{2}}+frac{B_{3}}{r^{4}}+frac{B_{4}}{r^ {6}}$, and of the special cases of these potentials such as the Kratzer and Goldman-Krivchenkov potentials, are obtained in N-dimensional space. The explicit dependence of these potentials in higher-dimensional space is discussed, which have not been previously covered.
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