2017
Том 69
№ 9

All Issues

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

Andrusyak I. V., Filevych P. V.


Abstract

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.

Citation Example: Andrusyak I. V., Filevych P. V. The coefficients of power expansion and $a$-points of an entire function with Borel exceptional value // Ukr. Mat. Zh. - 2016. - 68, № 2. - pp. 147-155.