Math, asked by pushpak15, 11 months ago

Write the orthogonality condition of legendre's equation.

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Answered by skgr2003
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Answer:

In physical science and mathematics, Legendre polynomials (named after Adrien-Marie Legendre, who discovered them in 1782) are a system of complete and orthogonal polynomials, with a vast number of mathematically beautiful properties, and innumerable applications. They can be defined in many ways, and the various definitions highlight different aspects as well as suggest generalizations and connections to different mathematical structures and physical and numerical applications.

Closely related to the Legendre polynomials are Associated Legendre polynomials, Legendre functions of the second kind {\displaystyle Q_{n}} Q_{n}, discussed below, and associated Legendre functions. For each of these see the separate Wikipedia articles.

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