| Recently, L.C.Hsu and Wang Jun generated new combinatorial number theoreticfunctions serving as generalizations of Euler′s totient. In this paper we form an extensive class of generalized Euler totients by translating the most general counting functions of Hsu and Wang on integers to the setting of Narkiewicz′s regular convolution. This class casts in the same framework various famous generalizations of Euler′s totient, such as Cohen′s totient, Jordan′s totient, Klee′s totient, Schemmel′s totient,Stevens′s to tient, the unitary analogue of Euler′s to tient and Euler′s to tient with respect to Narkiew icz′s regular convo lution. |
