One helpful property of functions generating Pólya frequency sequences
DOI10.1007/s40315-016-0160-4zbMath1361.30008arXiv1506.07689OpenAlexW3105332159MaRDI QIDQ523305
Publication date: 20 April 2017
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07689
partial theta functionPólya frequency sequencestotally positive sequenceslocalization of zeros\(\mathcal R\)-functionslocalization of \(\alpha \)-points
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special classes of entire functions of one complex variable and growth estimates (30D15)
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