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Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions

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Published in 2020 at "Computational Methods and Function Theory"

DOI: 10.1007/s40315-020-00341-w

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… read more here.

Keywords: formula; derivative sampling; analytic functions; polar analytic ... See more keywords