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The scheme of Tau method is extended for thesystems of hypergeometric type differential equations. ... Juri M. Rappoport 7. equation are present in the form of single quadrature from Fredholm inte-gral equation type.

25 Jan 2007: Unfortunately, in general,vector RH problems cannot be solved in closed form; their solution can be given in terms of linear integralequations of Fredholm type. ... 3.1 Cauchy Type Integrals. Consider the integral. Φ(z) =1. 2πi. L.

Department of Mathematics, University of Central Florida, USA. Abstract. We obtain Fredholm type formulas for partial degenerations of Theta functions on (irreducible) nodalcurves of arbitrary genus, with emphasis on nodal curves ... 18] formula of

ρ̄h(ū) =2. πc. 1. 1dv̄ K(ū, v̄) ρ̄h(v̄). (2.46). It is of Fredholm-type and may be immediately expanded in the small parameter c anditeratively solved as

If C is semi-Fredholm then α(C) β(C) is called theindex of C. ... 899) that L is Fredholm iff all the limitoperators of L are invertible.