2017
Том 69
№ 9

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

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.