Legendre polynomial

Summary

Legendre polynomial is a special function^[1]. It draws 2,252 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 is a type of polynomial sequence^[8].
• Legendre polynomial is a type of orthogonal polynomials^[9].
• Legendre polynomial is a type of Gegenbauer polynomials^[10].
• Legendre polynomial's Commons category is recorded as Legendre polynomials^[11].
• Legendre polynomial's time of discovery or invention is recorded as 1782^[12].
• Legendre polynomial's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[13].
• Legendre polynomial's described by source is recorded as Great Soviet Encyclopedia (1926–1947)^[14].
• Legendre polynomial's different from is recorded as associated Legendre polynomials^[15].
• Legendre polynomial's different from is recorded as Legendre function^[16].
• Legendre polynomial's maintained by WikiProject is recorded as WikiProject Mathematics^[17].
• Legendre polynomial's solution to is recorded as Legendre differential equation^[18].

Body

Definition and Type

Recorded instance of include special function^[4], Legendre function^[5], and mathematical concept^[6]. Recorded subclass of include polynomial sequence^[8], orthogonal polynomials^[9], and Gegenbauer polynomials^[10].

Origins

Adrien-Marie Legendre is named after Legendre polynomial^[7].

Influence

Things named for Legendre polynomial include Optimum "L" filter^[19].

Why It Matters

Legendre polynomial draws 2,252 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.^[20] It is known by 43 alternative names across languages and contexts.^[21]

Entities named for it include Optimum "L" filter^[19].