Some remarks on the location of non-asymptotic zeros of Whittaker and Kummer hypergeometric functions

DOI10.1016/j.bulsci.2021.103093zbMath1503.33005arXiv2106.03378OpenAlexW3169934663MaRDI QIDQ2071453

Guilherme Mazanti, Islam Boussaada, Silviu Iulian Niculescu

Publication date: 28 January 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.03378

zbMATH Keywords

confluent hypergeometric functionsWhittaker functionKummer functionzeros location

Mathematics Subject Classification ID

Padé approximation (41A21) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Inequalities in the complex plane (30A10) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: when delay-systems characteristics meet the zeros of Kummer functions ⋮ Multiplicity-induced-dominancy for delay systems: comprehensive examples in the scalar neutral case

Uses Software

• DLMF
• SciPy
• Python

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizing the codimension of zero singularities for time-delay systems. A link with Vandermonde and Birkhoff incidence matrices
• On the zeros and poles of Padè approximants to \(e^z\). III
• On the zeros and poles of Padé approximants to \(e^z\)
• Erratum: `On the zeros and poles of Padé approximants to \(e^z\)'
• Hypergeometric symbolic calculus. II: Systems of confluent equations
• Multiplicity-induced-dominancy for delay-differential equations of retarded type
• On the Zeros of Certain Confluent Hypergeometric Functions
• The Confluent Hypergeometric Function
• Über die Abzählung der Nullstellen der konfluenten hypergeometrischen Funktionen