Abstract
We present a method for proving that Jensen polynomials associated with functions in the $$\delta $$-Laguerre-Polya class have all real roots, and demonstrate how it can be used to construct new functions belonging to the Laguerre–Polya 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have