@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q228376 rdfs:label "অ্যাসোসিয়েটেড লিজেন্ড্রে বহুপদীসমূহ"@bn,
        "Polinomis associats de Legendre"@ca,
        "zugeordnete Legendrepolynome"@de,
        "associated Legendre polynomials"@en,
        "asociita polinomo de Legendre"@eo,
        "polinomios asociados de Legendre"@es,
        "توابع وابسته لژاندر"@fa,
        "Legendren liittofunktio"@fi,
        "polynômes associés de Legendre"@fr,
        "asszociált Legendre-függvény"@hu,
        "funzione associata di Legendre"@it,
        "ルジャンドルの微分方程式"@ja,
        "르장드르 연관 함수"@ko,
        "တွဲဖက် လီဂျန်ဒါ ပိုလီနိုမီရယ်များ"@my,
        "geassocieerde Legendrepolynoom"@nl,
        "tilknytt legendre-funksjon"@nn,
        "stowarzyszone funkcje Legendre'a"@pl,
        "função de Legendre"@pt,
        "присоединённые многочлены Лежандра"@ru,
        "pridruženi Legendrovi polinomi"@sl,
        "придружени Лежандрови полиноми"@sr,
        "asosiye Legendre polinomu"@tr,
        "приєднані функції Лежандра"@uk,
        "伴随勒让德多项式"@zh ;
    schema1:dateModified "2026-09-06T17:40:33+00:00"^^xsd:dateTime ;
    schema1:description "canonical solutions of the general Legendre equation"@en,
        "канонические решения общего уравнения Лежандра"@ru ;
    schema1:version 2541223472 ;
    wikibase:identifiers 7 ;
    wikibase:sitelinks 19 ;
    wikibase:statements 22 ;
    skos:altLabel "assoziierten Legendrefunktion"@de,
        "zugeordnete Kugelfunktion"@de,
        "zugeordneten Legendrefunktion"@de,
        "zugeordnetes Legendrepolynom"@de,
        "associated Legendre function"@en,
        "associated Legendre polynomial"@en,
        "función asociado de Legendre"@es,
        "función de Legendre asociado"@es,
        "polinomio asociado de Legendre"@es,
        "fonction de Legendre associée"@fr,
        "polynôme associé de Legendre"@fr,
        "asszociált Legendre-polinom"@hu,
        "随伴ルジャンドル多項式"@ja,
        "pridružena Legendrova funkcija"@sl,
        "pridruženi Legendrov polinom"@sl ;
    p:P10283 wds:Q228376-AFBEDA6A-F429-48F4-818C-809A74408BD2 ;
    p:P10376 wds:Q228376-e30f7bda-4911-1a41-ae1f-621f3a60387d ;
    p:P1343 wds:Q228376-8e0adf5c-4b0b-6731-fb53-a1ec5f93b462 ;
    p:P138 wds:Q228376-e24e9fb4-4b03-338e-366b-aacb33227b5a ;
    p:P18 wds:Q228376-204f40e5-492b-21b4-7e5c-0990cb1b0ee6,
        wds:Q228376-29825d46-4828-5d52-97ed-3e3a36fe520e,
        wds:Q228376-63cb29ec-4759-63b8-3fce-820472b122d2 ;
    p:P1889 wds:Q228376-f74f59d0-402d-c32d-302b-84fa3e677114 ;
    p:P227 wds:Q228376-360FA910-0222-45B5-9E9E-B8ED58AC2CFB ;
    p:P2534 wds:Q228376-30b843dd-4de8-39fb-e41d-4ed3cae51a6a ;
    p:P279 wds:Q228376-28DE5D81-546A-4FC2-9B76-736F0466C17F,
        wds:Q228376-546D5607-AAE7-4289-A0FC-256630E61BCC ;
    p:P2812 wds:Q228376-A88B1A84-F3F5-455C-A090-EF03075AC62F ;
    p:P31 wds:Q228376-6ce9dd70-4ab2-ef90-5d39-aee00e53a8be,
        wds:Q228376-9ed25f64-4af9-12ad-1e50-19a22923db54 ;
    p:P6104 wds:Q228376-FB040320-58D0-4675-9702-3A382EEDD9D3 ;
    p:P6366 wds:Q228376-3BB8674B-5CA0-479D-B705-702FD8D5C250 ;
    p:P646 wds:Q228376-8562FA1B-AD06-4007-ABE4-5037669B529F ;
    p:P6781 wds:Q228376-822b93fe-4de1-243c-545e-efefebcb6295 ;
    p:P7235 wds:Q228376-253010c0-483c-96cb-c0d0-471a0c25ac16,
        wds:Q228376-2e49018e-46f2-ece1-d970-acf9ef6caf6d,
        wds:Q228376-edd6e16c-45a3-44e0-836d-db290203b2d9 ;
    wdtn:P227 <https://d-nb.info/gnd/4333224-9> ;
    wdtn:P6366 <https://makg.org/entity/36956377> ;
    wdt:P10283 "C36956377" ;
    wdt:P10376 "mathematics/associated-legendre-function" ;
    wdt:P1343 wd:Q109490582 ;
    wdt:P138 wd:Q191021 ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Mplwp%20legendreP04a0.svg>,
        <http://commons.wikimedia.org/wiki/Special:FilePath/Mplwp%20legendreP15a1.svg>,
        <http://commons.wikimedia.org/wiki/Special:FilePath/Mplwp%20legendreP26a2.svg> ;
    wdt:P1889 wd:Q215405 ;
    wdt:P227 "4333224-9" ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msubsup><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">P</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msubsup><mo stretchy=\"false\">(</mo><mi>z</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">(</mo><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msup><mo stretchy=\"false\">(</mo><mn>1</mn><mo stretchy=\"false\">&#x2212;</mo><msup><mi>z</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msup><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>m</mi><mo lspace=\"0\" rspace=\"0\">/</mo><mn>2</mn></mrow></mrow></msup><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><msup><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">d</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msup></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">d</mi></mrow><msup><mi>z</mi><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msup></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">P</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">(</mo><mi>z</mi><mo stretchy=\"false\">)</mo><mo>,</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo stretchy=\"false\">&#x2208;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>𝖭</mi></mrow></mrow><mo>,</mo><mi>m</mi><mo stretchy=\"false\">&#x2264;</mo><mi>n</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q11348,
        wd:Q867707 ;
    wdt:P2812 "AssociatedLegendrePolynomial" ;
    wdt:P31 wd:Q17098449,
        wd:Q24034552 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "36956377" ;
    wdt:P646 "/m/042nzg" ;
    wdt:P6781 "Associated_Legendre_Function" ;
    wdt:P7235 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>𝖭</mi></mrow></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">P</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">(</mo><mi>z</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msubsup><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">P</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msubsup><mo stretchy=\"false\">(</mo><mi>z</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .

