Hyperbolicity of Appell polynomials of functions in the $$\delta $$δ-Laguerre–Pòya class
Author(s)
Iskander, Jonas; Jain, Vanshika
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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.
Date issued
2020-06-09Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer International Publishing
Citation
Research in Number Theory. 2020 Jun 09;6(2):23
Version: Author's final manuscript