多圆域上系数快速振荡幂级数的wiman型不等式

Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna Pub Date : 1900-01-01 DOI:10.30970/vmm.2022.93.083-096

Andrii Kuryliak, O. Skaskiv

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引用次数: 0

摘要

其中，是一类解析函数，其中(θ nm)是一个正整数序列，使得它的排列(θ∗k)通过增加满足(cid:28)满足条件θ∗k +1 /θ∗k (cid:62) q > 1, k > 0。对于K (f， θ)的解析函数，改进了Wiman不等式。

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WIMAN-TYPE INEQUALITY FOR POWER SERIES WITH RAPIDLY OSCILLATING COEFFICIENTS IN MULTIPLE-CIRCULAR DOMAINS

where be class of analytic functions, where ( θ nm ) is a sequence of positive integer such that its arrangement ( θ ∗ k ) by increasing satis(cid:28)es the condition θ ∗ k +1 /θ ∗ k (cid:62) q > 1 , k > 0 . For analytic functions from the K ( f, θ ) Wiman’s inequality was improved.

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Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna

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