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

• Date: 1998
• Main Authors: Krutigolova, Ye. K., Крутиголова, Є. К.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4891
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 \(\sum\nolimits_{n = 1}^\infty {P_n \left( z \right)} e^{\lambda _n z} \) .