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The expansion of a function in a series of associated legendre functions

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References

  1. “The expansion of an arbitrary function in a series of conal or toroidal functions,” TheProc. of the Cambridge Phil. Soc.,34, Part I, 30–32.

  2. Hobson,The Theory of Spherical and Ellipsoidal Harmonics, p. 270, formula (139).

  3. Whittaker and Watson,Modern Analysis, 4th ed., p. 229.

  4. Hobson,loc. cit., The Theory of Spherical and Ellipsoidal Harmonics, p. 267, formula (128).

  5. Loc. cit., Hobson,The Theory of Spherical and Ellipsoidal Harmonics, formulæ (5) and (7).

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(Communicated by Prof. B. S. Madhava Rao.)

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Shabde, N.G. The expansion of a function in a series of associated legendre functions. Proc. Indian Acad. Sci. (Math. Sci.) 7, 319–320 (1938). https://doi.org/10.1007/BF03045491

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