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math.CV2019
A residue theorem for polar analytic functions and Mellin analogues of Boas' differentiation formula and Valiron's sampling formula
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
In this paper, we continue the study of the polar analytic functions, a notion introduced in \cite{BBMS1} and successfully applied in Mellin analysis. Here we obtain another versio…
math.CV2018
Development of a complex function theory upon a new concept of polar-analytic functions; Extended version
Carlo Bardaro, Paul. L. Butzer, Ilaria Mantellini +1
The present article is an extended version of [6] containing new results and an updated list of references. We review the notion of polar analyticity introduced in a previous paper…