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February 21, 2026Constructive ApproximationOpen Access

Partial Fraction Expansions and Zeros of Hankel Transforms

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Authors

YCYong-Kum ChoChung-Ang UniversitySCSeok-Young ChungMichigan State UniversityYPYoung Woong ParkChung-Ang University

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Implication

This research proves that zeros of certain Hankel transforms are real and simple, indicating their distribution properties.

Key Points

  • The study aims to establish the nature and distribution of zeros in certain Hankel transforms.
  • Utilized partial fraction expansion technique
  • Applied Sturm’s oscillation theory
  • Analyzed the relationship between Hankel transforms and Bessel functions
  • Demonstrated that zeros of specific Hankel transforms are all real and simple
  • Showed distribution of Hankel transform zeros between consecutive zeros of Bessel functions
  • Established conditions for hypergeometric functions to belong to the Laguerre-Pólya class

Cite This Study

Cho et al. (2026) studied this question.

synapsesocial.com/papers/69994c01873532290d0202cfhttps://doi.org/10.1007/s00365-026-09737-8
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Also Consider

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  1. 1Some Consequences of the Sturm Comparison Theorem1986 · 35 citations
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