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Legendre function Функції Лежандра Fonction de Legendre
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Функції Лежандра Pλ, Qλ та приєднані функції Лежандра Pμλ, Qμλ є узагальненнями поліномів Лежандра для нецілих індексів. En mathématiques, les fonctions de Legendre, notées Pλ (première espèce) Qλ (seconde espèce), ainsi que les fonctions associées de Legendre correspondantes, notées Pλμ et Qλμ, sont des généralisations des polynômes de Legendre et des polynômes associés de Legendre , à des valeurs non-entières de et m. In physical science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμλ, Qμλ, and Legendre functions of the second kind, Qn, are all solutions of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional properties, mathematical structure, and applications. For these polynomial solutions, see the separate Wikipedia articles.
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T. M. A.B.
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L/l058030 14
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Dunster Ivanov
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Legendre and Related Functions
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Функції Лежандра Pλ, Qλ та приєднані функції Лежандра Pμλ, Qμλ є узагальненнями поліномів Лежандра для нецілих індексів. In physical science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμλ, Qμλ, and Legendre functions of the second kind, Qn, are all solutions of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional properties, mathematical structure, and applications. For these polynomial solutions, see the separate Wikipedia articles. En mathématiques, les fonctions de Legendre, notées Pλ (première espèce) Qλ (seconde espèce), ainsi que les fonctions associées de Legendre correspondantes, notées Pλμ et Qλμ, sont des généralisations des polynômes de Legendre et des polynômes associés de Legendre , à des valeurs non-entières de et m.
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