Hyperbolicity of Appell polynomials of functions in the $$\delta $$δ-Laguerre–Pòya class
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40993_2020_202_ReferencePDF.pdf
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Author(s)
Iskander, Jonas
Jain, Vanshika
Date Issued
June 9, 2020
Publisher
Springer International Publishing
Citation
Research in Number Theory. 2020 Jun 09;6(2):23
Version
Author's final manuscript
Abstract
Abstract
We present a method for proving that Jensen polynomials associated with functions in the $$\delta $$δ-Laguerre-Pòlya class have all real roots, and demonstrate how it can be used to construct new functions belonging to the Laguerre–Pòlya class. As an application, we confirm a conjecture of Ono, which asserts that the Jensen polynomials associated with the first term of the Hardy–Ramanujan–Rademacher series formula for the partition function are always hyperbolic.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s40993-020-00202-4
