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- W4328129858 abstract "The present paper introduces a method of basis transformation of a vector space that is specifically applicable to polynomials space and differential equations with certain polynomials solutions such as Hermite, Laguerre and Legendre polynomials. The method based on separated transformations of vector space basis by a set of operators that are equivalent to the formal basis transformation and connected to it by linear combination with projection operators. Applying the Forbenius covariants yields a general method that incorporates the Rodrigues formula as a special case in polynomial space. Using the Lie algebra modules, specifically sl(2,R) , on polynomial space results in isomorphic algebras whose Cartan sub-algebras are Hermite, Laguerre and Legendre differential operators. Commutation relations of these algebras and Baker-Campbell-Hausdorff formula gives new formulas for special polynomials." @default.
- W4328129858 created "2023-03-22" @default.
- W4328129858 creator A5004720487 @default.
- W4328129858 date "2023-03-11" @default.
- W4328129858 modified "2023-09-25" @default.
- W4328129858 title "A theorem on separated transformations of basis vectors of polynomial space and its applications in special polynomials and related sl(2,R) Lie algebra" @default.
- W4328129858 doi "https://doi.org/10.14293/s2199-1006.1.sor-.ppqila1.v1" @default.
- W4328129858 hasPublicationYear "2023" @default.
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