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Some new relations for the confluent Horn functions,andare obtained including differentiation and integration formulas, series and reduction formulas. Some generating functions for various special functions are given in terms of these Horn functions.

integral transforms and special functions

On some formulas for the confluent Horn functions H 3                  (c)  (a, b, c; d; w, z), H 4                  (c)  (a, c; d; w, z) and H 9                  (c)  (a, b; c; w, z)