Applications of Hermite transforms in computer algebra.

DOI10.1016/S0196-8858(03)00013-7zbMath1043.33013MaRDI QIDQ1415379

Helena Zakrajšek

Publication date: 3 December 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Linear differential equationHermite transformRational functionsHypergeometric polynomials

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

• Hypergeometric solutions of linear recurrences with polynomial coefficients
• Representations of orthogonal polynomials
• Expansion of multivariable polynomials in products of orthogonal polynomials in one variable
• Special formal series solutions of linear operator equations
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