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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… Click to show full 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.
Keywords:
formula;
derivative sampling;
analytic functions;
polar analytic;
mellin;
sampling formula
Journal Title: Computational Methods and Function Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Computational Methods and Function Theory
Year Published: 2020
Link to full text (if available)
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recommendations!