KARLSSON–MINTON TYPE HYPERGEOMETRIC FUNCTIONS ON THE ROOT SYSTEM Cn

نویسنده

  • HJALMAR ROSENGREN
چکیده

which holds for mi non-negative integers and Re (a + |m|) < 1. Accordingly, hypergeometric series with integral parameter differences have been called Karlsson–Minton type hypergeometric series; other results for such series may be found in [C, G1, G2, S1, S2]. In recent work [R], we have derived a very general reduction formula for series of Karlsson–Minton type. We recall it in its most general form as (4) below; here we only state a very degenerate case, namely,

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تاریخ انتشار 2002