Representation of analytic functions by generalized series of exponents in unbounded convex domains

  • Ye. K. Krutigolova

Abstract

We establish conditions for the representation of functions f(z) analytic in unbounded convex domains D and continuous in \(\bar D\) via series of the form \(\sum\nolimits_{n = 1}^\infty {P_n \left( z \right)} e^{\lambda _n z} \) .
Published
25.06.1998
How to Cite
KrutigolovaY. K. “Representation of Analytic Functions by Generalized Series of Exponents in Unbounded Convex Domains”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 6, June 1998, pp. 812–817, https://umj.imath.kiev.ua/index.php/umj/article/view/4891.
Section
Research articles