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Displaying similar documents to “Linearization of second-order ordinary differential equations by generalized Sundman transformations.”

Natural transformations of higher order cotangent bundle functors

Jan Kurek (1993)

Annales Polonici Mathematici

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We determine all natural transformations of the rth order cotangent bundle functor T r * into T s * in the following cases: r = s, r < s, r > s. We deduce that all natural transformations of T r * into itself form an r-parameter family linearly generated by the pth power transformations with p =1,...,r.

On two new functional equations for generalized Joukowski transformations

M. Baran, H. Haruki (1991)

Annales Polonici Mathematici

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The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function 1 / 2 ( z + z - 1 ) of a complex variable z.