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• W1567997890 abstract "We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries of the hypergeometric and Gegenbauer equation from conformal symmetries of the 4- and 3-dimensional Laplace equation. We also derive the symmetries of the confluent and Hermite equation from the so-called Schrodinger symmetries of the heat equation in 2 and 1 dimension. Finally, we also describe how properties of the ${}_0F_1$ equation follow from the Helmholtz equation in 2 dimensions." @default.
• W1567997890 created "2016-06-24" @default.
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• W1567997890 date "2016-11-05" @default.
• W1567997890 modified "2023-09-30" @default.
• W1567997890 title "From Conformal Group to Symmetries of Hypergeometric Type Equations" @default.
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• W1567997890 doi "https://doi.org/10.3842/sigma.2016.108" @default.
• W1567997890 hasPublicationYear "2016" @default.
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