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Statements

Subject Item

dbr:Hankel_transform

dbo:wikiPageWikiLink

dbr:Y_and_H_transforms

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dbr:Y_and_H_transforms

rdfs:label

Y and H transforms

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In mathematics, the Y transforms and H transforms are complementary pairs of integral transforms involving, respectively, the Neumann function (Bessel function of the second kind) Yν of order ν and the Struve function Hν of the same order. For a given function f(r), the Y-transform of order ν is given by The inverse of above is the H-transform of the same order; for a given function F(k), the H-transform of order ν is given by

dcterms:subject

dbc:Integral_transforms

dbo:wikiPageID

46183205

dbo:wikiPageRevisionID

891177014

dbo:wikiPageWikiLink

dbr:Struve_function dbr:Bessel_function dbr:Axial_symmetry dbr:Bateman_Manuscript_Project dbr:Hankel_transform dbr:Integral_transform dbr:Neumann_function dbc:Integral_transforms

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dbt:Cite_journal dbt:Mathcal dbt:Math

dbo:abstract

In mathematics, the Y transforms and H transforms are complementary pairs of integral transforms involving, respectively, the Neumann function (Bessel function of the second kind) Yν of order ν and the Struve function Hν of the same order. For a given function f(r), the Y-transform of order ν is given by The inverse of above is the H-transform of the same order; for a given function F(k), the H-transform of order ν is given by These transforms are closely related to the Hankel transform, as both involve Bessel functions.In problems of mathematical physics and applied mathematics, the Hankel, Y, H transforms all may appear in problems having axial symmetry.Hankel transforms are however much more commonly seen due to their connection with the 2-dimensional Fourier transform. The Y, H transforms appear in situations with singular behaviour on the axis of symmetry (Rooney).

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wikipedia-en:Y_and_H_transforms?oldid=891177014&ns=0

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2540

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wikipedia-en:Y_and_H_transforms

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wikipedia-en:Y_and_H_transforms

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dbr:Y_and_H_transforms