J. Marichal

collaborators

3 papers

math.CA2026

Repeated principal indefinite summation

Thomas Lamby, Jean-Luc Marichal

Under suitable asymptotic and convexity conditions on a function $g : R_{+} \to R$ , the solution to $I^ f = g$ , where $I^$ is the forward difference operator, is uniq…

math.CA2025

Newton series representation of completely monotone functions

Thomas Lamby, Jean-Luc Marichal, NaÃ¯m ZenaÃ¯di

We prove that every completely monotone function defined on a right-unbounded open interval admits a Newton series expansion at every point of that interval. This result can be vie…

math.RA2025

Irreducible Polyadic Semigroups Admitting the Adjunction of a Neutral Element

Jean-Luc Marichal, Pierre Mathonet, TamÃ¡s Waldhauser

It was claimed in [4] that for any integer $n ⩾ 2$ , a neutral element can be adjoined to an $n$ -ary semigroup if and only if the $n$ -ary semigroup is reducible to a binary s…