@prefix isq: <https://w3id.org/standards/isq/ontologies/core/> .
@prefix smart: <https://example.org/smart-sdu/> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

<isq:t2-20.16>
  a isq:Entry ;
  rdf:type isq:MathConcept ;
  rdf:type smart:TermEntry ;
  dcterms:identifier "2-20.16" ;
  skosxl:prefLabel "associated Legendre function"@en ;
  skosxl:altLabel "\"P\"_n^m(z)"@en ;
  skos:definition "associated Legendre function"@en ;
  smart:hasBindingnessType "bindingness-type:normative" ;
  dcterms:isPartOf <isq:part-2-20> ;
  skos:note "stem:[\"P\"_n^m(z) = (-1)^m (1-z^2)^(m//2) (\"d\"^m)/(\"d\"z^m) \"P\"_n(z)]\n\n(for stem:[m, n in bb(sf(N))], stem:[m <= n])\n\nSolution of\n\nstem:[(1-z^2)y'' - 2zy' + [n(n+1) - (m^2)/(1-z^2)\\] y=0]\n\nThe factor stem:[(-1)^m] follows from the general theory of spherical functions.\n"@en ;
  iso:urn <urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.16> .