Weisner's method (original) (raw)

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dbo:abstract In mathematics, Weisner's method is a method for finding generating functions for special functions using representation theory of Lie groups and Lie algebras, introduced by . It includes as a special case, and is essentially the same as . ... Weisner's group-theoretic method ... is a technique with uses the differential recurrence relations of a family of special functions to construct a Lie algebra of differential operators (Lie derivatives), under the action of which the family is invariant. The Lie derivatives can be exponentiated to obtain an action of the associated Lie group and this group action yields the generating functions. (en) Inom matematiken är Weisners metod en metod för att hitta genererande funktioner för speciella funktioner genom att använda av Liegrupper och Liealgebror, introducerad av ). Den har som ett specialfall och är essentiellt samma som . (sv)
dbo:wikiPageExternalLink http://projecteuclid.org/euclid.pjm/1172000968 https://archive.org/details/obtaininggenerat0000mcbr https://books.google.com/books%3Fid=eCvriuu28BgC&pg=PA448
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rdfs:comment Inom matematiken är Weisners metod en metod för att hitta genererande funktioner för speciella funktioner genom att använda av Liegrupper och Liealgebror, introducerad av ). Den har som ett specialfall och är essentiellt samma som . (sv) In mathematics, Weisner's method is a method for finding generating functions for special functions using representation theory of Lie groups and Lie algebras, introduced by . It includes as a special case, and is essentially the same as . (en)
rdfs:label Weisner's method (en) Weisners metod (sv)
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