On the curves of zeros of Lommel functions of two variables

DOI10.1080/10652469.2019.1685992zbMath1434.33009OpenAlexW2987603762WikidataQ126864281 ScholiaQ126864281MaRDI QIDQ5215381

R. Limani, Bujar Xh. Fejzullahu

Publication date: 10 February 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1685992

zbMATH Keywords

Bessel functionimplicit functionsLommel functions of two variables

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Implicit function theorems, Jacobians, transformations with several variables (26B10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• DLMF

Cites Work

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• Positive trigonometric integrals associated with some Lommel functions of the first kind
• Zeros of entire functions of finite order
• NIST digital library of mathematical functions
• Neumann series and Lommel functions of two variables
• The zeros of certain Lommel functions
• On the Computation of Lommel's Functions of Two Variables
• Green’s functions for nonlinear Klein–Gordon kink perturbation theory
• On Entire Functions of Exponential Type Bounded on the Real Axis
• Some properties of the zeros of the cylinder functions of two real variables
• Theory of Incomplete Cylindrical Functions and their Applications
• The Sign of Lommel's Function
• Some inequalities for functions of exponential type
• Some recent results on the zeros of Bessel functions and orthogonal polynomials

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