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1 Introduction
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2 The mid-plane potential in power-law discs from an ordinary differential equation (ODE)
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3 Formal solution of the ODE
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4 Potential at the disc edges
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5 Solution of the ODE in the form of series
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6 Potential inside the disc
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7 Approximate formulae inside the disc
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8 Discs with no inner/outer edges
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9 Concluding remarks
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Appendix A: Vanishing coefficient A for s {-3,0}
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Appendix B: Converged values of coefficient A, A1, and A
for s [-4,1]
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Appendix C: Convergence acceleration for A
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Appendix D: A basic algorithm
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References
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