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Hankel complementary integral transformations of arbitrary order
Four selfreciprocal integral transformations of Hankel type are defined through(ℋi,μf)(y)=Fi(y)=∫0∞αi(x)ℊi,μ(xy)f(x)dx, ℋi,μ−1=ℋi,μ,where i=1,2,3,4; μ≥0; α1(x)=x1+2μ, ℊ1,μ(x)=x−μJμ(x), Jμ(x) being the Bessel function of the first kind of order μ; α2(x)=x1−2μ, ℊ2,μ(x)=(−1)μx2μℊ1,μ(x); α3(x)=x−1−2μ,...
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| Autors principals: | , |
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| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
Hindawi Limited
1992-01-01
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| Col·lecció: | International Journal of Mathematics and Mathematical Sciences |
| Matèries: | |
| Accés en línia: | http://dx.doi.org/10.1155/S0161171292000401 |
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