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math.CA2026
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…
math.CA2025
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…