The Sturm-Liouville equation represents the linearized form of the
    first-order Riccati equation. This provides an evidence for the connection
    between Schwarzian derivative and this first-order nonlinear differential
    equation. Similar connection is not obvious for higher-order equations in the
    Riccati chain because the corresponding linear equations are of order greater
    than two. With special attention to the second- and third-order Riccati
    equations we demonstrate that Schwarzian derivative has a natural space in
    higher Riccati equations .

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