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In [4] we’ve considered a difference system connected with some Mejer’s funtions, which satisfy to a differential equation of fourth order. Arithmetical applications f these considerations can be found in [5], [6]. Here we analogously deduce a difference system for some Mejer’s functions, which satisfy to a differential equation of eighth order. In memory of Professor A.A. Buchstab. AMS Subject Classification: 39AXX, 11B37, 33CXX

A SYSTEM OF DIFFERENCE EQUATIONS OF 8-TH ORDER FOR SOME MEJER'S FUNTIONS