Domains of holomorphy of generating functions of Polya frequency sequences of finite order
Abstract
A domain G⊂ C is the domain of holomorphy of the generating function of a P\'olya frequency sequence of order r if and only if it satisfies the following conditions: (A) G contains the point z=0, (B) G is symmetric with respect to the real axis, (C) T=dist(0,∂ G)∈ ∂ G.
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