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- W3048370789 abstract "We prove that if f ( x ) = ∑ k = 0 ∞ a k x k , a k > 0 , is an entire function such that the sequence Q : = ( a k 2 a k − 1 a k + 1 ) k = 1 ∞ is non-decreasing and a 1 2 a 0 a 2 ≥ 2 2 3 , then all but a finite number of zeros of f are real and simple. We also present a criterion in terms of the closest to zero roots for such a function to have only real zeros (in other words, for belonging to the Laguerre–Pólya class of type I) under additional assumption on the sequence Q ." @default.
- W3048370789 created "2020-08-18" @default.
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- W3048370789 date "2021-06-01" @default.
- W3048370789 modified "2023-09-26" @default.
- W3048370789 title "On the entire functions from the Laguerre–Pólya I class having the increasing second quotients of Taylor coefficients" @default.
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- W3048370789 doi "https://doi.org/10.1016/j.jmaa.2021.124955" @default.
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