Development of a complex function theory upon a new concept of polar-analytic functions; Extended version

Autor:	Bardaro, Carlo, Butzer, Paul. L., Mantellini, Ilaria, Schmeisser, Gerhard
Rok vydání:	2018
Předmět:	Mathematics - Complex Variables 30G30 30C20
Druh dokumentu:	Working Paper
Popis:	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 and succesfully applied in Mellin analysis and quadrature formulae for functions defined on the positive real axis. This appears as a simple way to describe functions which are analytic on a part of the Riemann surface of the logarithm. In this paper we launch a proposal to develop a complete complex function theory, independent of classical function theory, which is built upon the new concept of polar analyticity. Comment: 14 pages, 3 figures. arXiv admin note: text overlap with arXiv:1706.00285
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1803.04258 Zobrazit plný text záznamu View this record from Arxiv