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ВИДЕОТЕКА |
Шестая международная конференция по дифференциальным и функционально-дифференциальным уравнениям DFDE-2011
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On Regge–Gel'fand problem of construction of the Pfaff system of Fuchsian type with a given singular divisor V. A. Golubeva Moscow Aviation Institute, Moscow, Russia |
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Аннотация: At the beginning of the sixties of the XX century I. M. Gelfand stated the problem of construction of the system of partial differential equations of generalized hypergeometric type for Feynman integrals of quantum electrodynamics. T. Regge presented it on International Conference “Battelle rencontres”. The definition of equations of the generalized hypergeometric type was not given. One of treatment of this statement was the consideration of the problem as the Riemann–Hilbert problem of construction of differential equations using the ramification of a given object and its monodromy group. At this moment (beginning from the twenties) there were known several hypergeometric functions (Appell and Kampe de Feriet) In the talk the results obtained in this direction and open problems will be considered. |