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Generalized derivations and generalized exponential monomials on hypergroups

Fechner Żywilla, Gselmann Eszter, Székelyhidi László

Opuscula Mathematica

2023

Vol. 43, no. 4

493--505

In one of our former papers Endomorphisms of the measure algebra of commutative hypergroups we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra. Continuing with this, we are now looking for the connection between the generalized exponential polynomials of a commutative hypergroup and the higher order derivations of the corresponding measure algebra.

Hetmaniok E., Pleszczyński M., Słota D., Wituła R.

Journal of Applied Mathematics and Computational Mechanics

2013

Vol. 12, nr 3

93--104

The aim of this paper is to introduce and compare some fundamental analytical properties of the title polynomials. Many similarities between them are emphasized in the paper. Moreover, the authors present many isolated results, new proofs and identities.