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Abstract

In this chapter, another useful set of orthogonal functions is introduced. On applying the method of separation of variables to solve PDE problems defined in a sphere, the Legendre equation is naturally introduced.

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Notes

  1. 1.

    See Sect. 6.5 of “Special functions” by N. M. Temme [11].

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Correspondence to Yichao Zhu .

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Zhu, Y. (2021). Legendre Polynomial. In: Equations and Analytical Tools in Mathematical Physics. Springer, Singapore. https://doi.org/10.1007/978-981-16-5441-1_6

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