2018/03/08 by Carlo Bardaro, P. L. Butzer, Bardaro, Carlo +5
Mathematics · #30C20 #30G30 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.1803.04258
openalex publication_date 2018/03/08 · openalex created_date 2022/08/27 · openalex updated_date 2026/07/28
The present article is an extended version of [6] containing new results and\nan updated list of references. We review the notion of polar analyticity\nintroduced in a previous paper and succesfully applied in Mellin analysis and\nquadrature formulae for functions defined on the positive real axis. This\nappears as a simple way to describe functions which are analytic on a part of\nthe Riemann surface of the logarithm. In this paper we launch a proposal to\ndevelop a complete complex function theory, independent of classical function\ntheory, which is built upon the new concept of polar analyticity.\n