On the positivity and zeros of lommel functions: hyperbolic extension and interlacing

DOI10.1016/j.jmaa.2018.10.040zbMath1404.33002OpenAlexW2896198707MaRDI QIDQ1630607

Seok-Young Chung, Yong-Kum Cho

Publication date: 10 December 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.040

zbMATH Keywords

Lommel functionpositivityWronskianBessel function\({}_1F_2\) hypergeometric seriesinterlace

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Collective interlacing and ranges of the positive zeros of Bessel functions ⋮ The Newton polyhedron and positivity of \(_2F_3\) hypergeometric functions

Cites Work

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• On the interlacing of cylinder functions
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• On a monotonic property of certain Sturm-Liouville functions