55 citations · 565 across the 70 of their papers we have counts for
71 papers
Repeated principal indefinite summation
Thomas Lamby, Jean-Luc Marichal
Under suitable asymptotic and convexity conditions on a function , the solution to , where is the forward difference operator, is unique…
Newton series representation of completely monotone functions
Thomas Lamby, Jean-Luc Marichal, Naïm Zenaïdi
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…
Irreducible Polyadic Semigroups Admitting the Adjunction of a Neutral Element
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
It was claimed in [4] that for any integer , a neutral element can be adjoined to an -ary semigroup if and only if the -ary semigroup is reducible to a binary s…
A generalization of Bohr-Mollerup's theorem for higher order convex functions: a tutorial
Jean-Luc Marichal, Naïm Zenaïdi
In its additive version, Bohr-Mollerup's remarkable theorem states that the unique (up to an additive constant) convex solution to the equation on the open hal…
Nonstandard -distances based on certain geometric constructions
Gergely Kiss, Jean-Luc Marichal
The concept of -distance was recently introduced to generalize the classical definition of distance to functions of arguments. In this paper we investigate this concept thro…
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Jean-Luc Marichal, Naïm Zenaïdi
In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin invest…