2022/10/29 by Ruiming Zhang, Zhang, Ruiming
Mathematics · #Advanced Mathematical Identities #Bessel function #Biology #Botany #Combinatorics #Complex Variables (math.CV) #Complex plane #Entire function #FOS: Mathematics #Function (biology) #Genus #Geometry #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Meromorphic and Entire Functions #Plane (geometry) #Pure mathematics #Upper and lower bounds
paper · pdf · doi:10.48550/arxiv.2211.00505
openalex publication_date 2022/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract. In this work we use an elementary method to derive an upper bound on the right half-plane for genus 0 entire functions if it has only negative zeros. The bound only uses information of the function on the positive real axis. Applications to the modified Bessel functions and the Airy function are also provided.