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@article{faucris.239154081,
abstract = {We establish a general version of Cauchy’s integral formula and a residue theorem for polar-analytic functions, employing the new notion of logarithmic poles. As an application, a Boas-type differentiation formula in Mellin setting and a Bernstein-type inequality for polar Mellin derivatives are deduced.},
author = {Bardaro, Carlo and Butzer, Paul L. and Mantellini, Ilaria and Schmeißer, Gerhard},
doi = {10.1007/s40574-020-00226-9},
faupublication = {yes},
journal = {Bolletino dell Unione Matematica Italiana},
keywords = {Boas’ differentiation formula; Cauchy’s integral formulae; Identity theorems; Logarithmic poles; Polar-analytic functions},
note = {CRIS-Team Scopus Importer:2020-06-09},
peerreviewed = {Yes},
title = {{Integration} of polar-analytic functions and applications to {Boas}’ differentiation formula and {Bernstein}’s inequality in {Mellin} setting},
year = {2020}
}