The reducibility Of An Airy Operator

Mathematics – Analysis of PDEs

Scientific paper

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8 pages

Scientific paper

We show that the determinant $\nabla(d,\alpha),$ which seems to be not
considered in the past, is not zero. As an application of this result we prove
that the Setoyanagi operator $S_{p,q}=\partial^{2}-(ax^{p}+bx^{q}) $ is
irreducible over $\mathbb{C}(x) [ \partial] $.

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