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The Riemann and Riemann-Hilbert Problems II

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Fuchsian Differential Equations

Part of the book series: Aspects of Mathematics / Aspekte der Mathematik ((ASMA,volume E 11))

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Abstract

In this chapter we discuss the Riemann problem and the question of accessory parameters in n variables. As we saw in Chapter 3, the Riemann problem is simple if n = 1. However we shall see now that it is very complicated if n ≧ 2; for several variables the Riemann-Hilbert problem forms part of the Riemann problem. To counterbalance this extra complexity, we find that in several variables the question of accessory parameters turns out to be simple, at least in the cases we look at.

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© 1987 Springer Fachmedien Wiesbaden

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Yoshida, M. (1987). The Riemann and Riemann-Hilbert Problems II. In: Fuchsian Differential Equations. Aspects of Mathematics / Aspekte der Mathematik, vol E 11. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14115-0_9

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  • DOI: https://doi.org/10.1007/978-3-663-14115-0_9

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08971-9

  • Online ISBN: 978-3-663-14115-0

  • eBook Packages: Springer Book Archive

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