Some solutions of h.p. shells have been established for recent few years, but those solutions seems rather troublesome for numerical work, even if electric digital computors are used. Because the programming work becomes very complicated due to the unsystematic expression of the solutions. Here rather practical and convenient solutions for numerical calculations are obtained for some boundary conditions, which are as follows; [numerical formula] Taking the sequences of orthonormal functions which satisfy afore-mentioned boundary conditions, and substituting into equilibrium equations and compatiblity condition, we can get linear equations of unknown integral constants, directly. Numerical example of I-(1) and II-(5) are shown, similarly, and by the comparison with Fourier series solutions and finit difference solutions, it is clarifyed that they have sufficient accuracy.
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