The coefficients of power expansion and $a$-points of an entire function with Borel exceptional value

• Date: 2016
• Main Authors: Andrusyak, I. V., Filevych, P. V., Андрусяк, І. В., Філевич, П. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1829
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For entire functions with Borel exceptional values, we establish the relationship between the rate of approaching $\infty$ for the sequence of their $a$-points and the rate of approaching 0 for the sequence of their Taylor coefficients.