Abstract

Let α>−1/2, we establish a Bohr phenomenon for differential operatorsΔα=(1−|x|2){1−|x|24Δ+α∑j=1nxj∂∂xj+α(n2−1−α)}. We also obtain the Bohr radius and its asymptotic properties in this setting. The Bohr radius equals the unique solution in (0,1) of an equation related to hypergeometric functions.

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