Abstract

Let P ε C [z] be a monic quadratic polynomial with non-zero discriminant and P(0) ≠ 0. Let λ ε C. Consider the linear differential equation zP(z) d2u/dz2 + (zP(z)) ,du/dz + (z-λ)u=0. Note that this is the general shape of a Fuchsian differential equation on P1 with singularities in
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