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The Titchmarsh integral transformation by the index of a Bessel function

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Publication:1571029
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DOI10.1016/S0377-0427(00)00298-3zbMath0959.44005MaRDI QIDQ1571029

Semyon B. Yakubovich

Publication date: 1 May 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

Kontorovich-Lebedev transforminversion theoremsBessel functions as kernelsindex integral transformationLommel functions as kernelsTitchmarsh integral transformations


Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)


Related Items (4)

On the index integral transformation with Nicholson's function as the kernel ⋮ A Voronoi-type summation formula involving σiτ(n) and index transforms ⋮ Infinite integrals of Whittaker and Bessel functions with respect to their indices ⋮ Index transforms associated with Bessel and Lommel functions




Cites Work

  • Index integral transformations of Titchmarsh type
  • A Class of Integral Transforms
  • E-transforms (II)
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