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In this paper, we have studied regularity of some "incomplete" Pál type interpolation problems on non-uniformly distributed nodes. We have omitted real and complex nodes from set of non-uniformly distributed nodes. These types of Pál type interpolation problems are different from the problems, where one or two nodes are added to the set of interpolation points.

We study the regularity of certain (0, 2) Pál-type interpolation problems involving the Möbius transforms of the zeros of z 2n − ρ 2n to the circle |z| = ρ .

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