Abstract
We formulate the connection problem for regular holonomic systems in several variables on the basis of local monodromies. As examples, we solve the connection problem for Appell’s hypergeometric functions F 1 and F 2.
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Acknowledgements
This work is supported by the JSPS grants-in-aid for scientific research B, No. 15H03628.
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Haraoka, Y. (2017). Connection Problem for Regular Holonomic Systems in Several Variables. In: Filipuk, G., Haraoka, Y., Michalik, S. (eds) Analytic, Algebraic and Geometric Aspects of Differential Equations. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-52842-7_8
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DOI: https://doi.org/10.1007/978-3-319-52842-7_8
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