Legendre polynomial

Summary

Legendre polynomial is a special function^[1]. It draws 941 Wikipedia views per month (special_function category, ranking #3 of 11).^[2]

Key Facts

• Legendre polynomial is credited with the discovery of Adrien-Marie Legendre^[3].
• Legendre polynomial's instance of is recorded as special function^[4].
• Legendre polynomial's instance of is recorded as Legendre function^[5].
• Legendre polynomial's instance of is recorded as mathematical concept^[6].
• Adrien-Marie Legendre is named after Legendre polynomial^[7].
• Legendre polynomial's GND ID is recorded as 4333222-5^[8].
• Legendre polynomial's Library of Congress authority ID is recorded as sh85075779^[9].
• Legendre polynomial's Bibliothèque nationale de France ID is recorded as 12122983h^[10].
• Legendre polynomial's IdRef ID is recorded as 029649501^[11].
• Legendre polynomial's subclass of is recorded as polynomial sequence^[12].
• Legendre polynomial's subclass of is recorded as orthogonal polynomials^[13].
• Legendre polynomial's subclass of is recorded as Gegenbauer polynomials^[14].
• Legendre polynomial's NDL Authority ID is recorded as 00567364^[15].
• Legendre polynomial's Commons category is recorded as Legendre polynomials^[16].
• Legendre polynomial's BNCF Thesaurus ID is recorded as 38392^[17].
• Legendre polynomial's time of discovery or invention is recorded as +1782-00-00T00:00:00Z^[18].
• Legendre polynomial's Freebase ID is recorded as /m/0pkk3^[19].
• Legendre polynomial's NL CR AUT ID is recorded as ph135787^[20].
• Legendre polynomial's Dewey Decimal Classification is recorded as 515.55^[21].
• Legendre polynomial's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[22].
• Legendre polynomial's described by source is recorded as Great Soviet Encyclopedia (1926–1947)^[23].
• Legendre polynomial's different from is recorded as associated Legendre polynomials^[24].
• Legendre polynomial's different from is recorded as Legendre function^[25].
• Legendre polynomial's FAST ID is recorded as 995591^[26].
• Legendre polynomial's defining formula is recorded as \mathrm{P}_n(z) = \frac{1}{2^n n!} \frac{\mathrm{d}^n}{\mathrm{d} z^n}(z^2 - 1)^n, n \in \boldsymbol{\mathsf{N}}^[27].

Body

Works and Contributions

Legendre polynomial is credited with the discovery of Adrien-Marie Legendre^[3]. Things named for it include Optimum "L" filter^[28].

Why It Matters

Legendre polynomial draws 941 Wikipedia views per month (special_function category, ranking #3 of 11).^[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.^[29] It is known by 43 alternative names across languages and contexts.^[30]

Entities named for it include Optimum "L" filter^[28].