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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.AP2019
The Third Boundary Value Problem of Potential Theory for the Exterior Ball and the Approximation behaviour of the solution; a Novel Open Problem
P. L. Butzer, R. L. Stens
The paper is concerned with the interconnection of the boundary behaviour of the solutions of the exterior Dirichlet and Neumann problems of harmonic analysis for the three-dimensi…