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@article{faucris.241749227,
abstract = {In this paper, we first recall some recent results on polar-analytic functions. Then we establish Mellin analogues of a classical interpolation of Valiron and of a derivative sampling formula. As consequences a new differentiation formula and an identity theorem in Mellin–Bernstein spaces are obtained. The main tool in the proofs is a residue theorem for polar-analytic functions.},
author = {Bardaro, Carlo and Butzer, Paul L. and Mantellini, Ilaria and Schmeißer, Gerhard},
doi = {10.1007/s40315-020-00341-w},
faupublication = {yes},
journal = {Computational Methods and Function Theory},
keywords = {Cauchy’s integral formulae; Exponential formula for derivatives; Identity theorem; Logarithmic poles; Mellin–Bernstein spaces; Polar-analytic functions; Valiron’s interpolation formula},
note = {CRIS-Team Scopus Importer:2020-08-21},
peerreviewed = {Yes},
title = {{Valiron}’s {Interpolation} {Formula} and a {Derivative} {Sampling} {Formula} in the {Mellin} {Setting} {Acquired} via {Polar}-{Analytic} {Functions}},
year = {2020}
}