Jensen polynomials for holomorphic functions

DOI10.1142/S1793042123500367OpenAlexW4295127592WikidataQ114071738 ScholiaQ114071738MaRDI QIDQ5881021

Michael J. Griffin, Unnamed Author

Publication date: 9 March 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042123500367

zbMATH Keywords

Riemann zeta functionhypergeometric functionsHermite polynomialsRiemann xi functionJensen polynomials

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Power series (including lacunary series) in one complex variable (30B10) Special sequences and polynomials (11B83) Special functions (33-XX)

Cites Work

• Unnamed Item
• Laguerre polynomials as Jensen polynomials of Laguerre-Pólya entire functions
• Zeros of Jensen polynomials and asymptotics for the Riemann xi function
• Hyperbolicity of the partition Jensen polynomials
• Laguerre multiplier sequences and sector properties of entire functions
• Isolating some non-trivial zeros of zeta
• Higher order Turán inequalities for the Riemann $\xi$-function
• The Riemann Hypothesis and the Turan Inequalities
• Jensen polynomials for the Riemann zeta function and other sequences

This page was built for publication: Jensen polynomials for holomorphic functions