Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting

Bardaro C, Butzer PL, Mantellini I, Schmeißer G (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Bolletino dell Unione Matematica Italiana Unione Matematica Italiana

DOI: 10.1007/s40574-020-00226-9

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.

Authors with CRIS profile

Gerhard Schmeißer Department Mathematik

Involved external institutions

Università degli Studi di Perugia IT Italy (IT) Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Bardaro, C., Butzer, P.L., Mantellini, I., & Schmeißer, G. (2020). Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting. Bolletino dell Unione Matematica Italiana. https://dx.doi.org/10.1007/s40574-020-00226-9

MLA:

Bardaro, Carlo, et al. "Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting." Bolletino dell Unione Matematica Italiana (2020).

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