Journal of Siberian Federal University. Mathematics & Physics / Morera’s Theorem and Functional Series in the Class of A-analytic Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (1)
Authors
Jabborov, Nasridin M.
Contact information
Jabborov, Nasridin M.: National University of Uzbekistan Vuzgorodok, Tashkent, 100174 Uzbekistan;
Keywords
A-analytic functions; analog of Morera’s theorem; analog of the Weierstrass theorem; expan- sion of A-analytic functions
Abstract

The aim of this paper is to investigate A-analytic functions in a special case when the function A is an anti-analytic function in a domain. We prove that a continuous function satisfying the integral condition of the Cauchy theorem is A-analytic (an analog of Morera’s theorem, Sec. 2). In Sec. 3 we prove an analog of the Weierstrass theorem for functional series of A-analytic functions and the expansion of A-analytic functions into functional series (Sec. 4)

Pages
50–59
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/68745