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Legendre function

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…

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Legendre function as characters

Harmonic analysisDouble coset spaceZonal spherical functionFourier transform
4 related topics

Solutions of the differential equation

Gamma functionWhipple's formulaPochhammer symbol
3 related topics

Legendre's differential equation

Hypergeometric differential equationHypergeometric functions
2 related topics

Legendre functions of the second kind (Qn)

Singular
1 related topics

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Legendre's differential equation

Solutions of the differential equation

Legendre functions of the second kind (Qn)

Legendre function as characters

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Legendre function

Nodes18
Edges17
Triples79
Avg. degree1.89
Density0.111111
Components1

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Legendre function

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related to References · 60
Legendre function → Abramowitz, Applied Mathematics Series, Boisvert, Cambridge University Press, Chapter, Charles, Chester, Clark, Commerce, Courant, Course, Daniel, Date, David, December, Dover Publications, Dunster, EMS PressSnow, Encyclopedia, Formulas
related to Singularities of Legendre functions of the first kind (Pλ) as a consequence of symmetry · 8
Legendre function → In, Indeed, It, Legendre, Legendre's, Pλ, Qλ, Thus
related to Solutions of the differential equation · 6
Legendre function → Gamma, Legendre, Since, These, Whipple's, With
related to External links · 3
Legendre function → Associated Legendre, Legendre, Wolfram
related to Integral representations · 2
Legendre function → For, The Legendre

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legendre functions displaystyle function solutions equation second frac associated lambda integer kind differential right mu degree -1 pλ legendre's left

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Legendre functionrelated to External linksLegendre0.60section
Legendre functionrelated to External linksWolfram0.60section
Legendre functionrelated to External linksAssociated Legendre0.60section
Legendre functionrelated to Integral representationsThe Legendre0.60section
Legendre functionrelated to Integral representationsFor0.60section
Legendre functionrelated to ReferencesAbramowitz0.60section
Legendre functionrelated to ReferencesMilton0.60section
Legendre functionrelated to ReferencesStegun0.60section
Legendre functionrelated to ReferencesIrene Ann0.60section
Legendre functionrelated to ReferencesJune0.60section
Legendre functionrelated to ReferencesChapter0.60section
Legendre functionrelated to ReferencesHandbook0.60section

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