|
Matematychni Studii 2013
Wiman’s type inequality for some double power seriesKeywords: maximum modulus , maximal term , double power series , Wiman’s type inequality Abstract: In this paper we prove some analogue of Wiman's inequality foranalytic functions $f(z_1,z_2)$ in the domain$mathbb{T}={zinmathbb C^2colon|z_1|<1, |z_2|<+infty}$.The obtained inequality is sharp.
|