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   Articles with "index transforms" as a keyword



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Lebedev type index transforms with the squares of the associated Legendre functions

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recommendations! Published in 2017 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-017-0748-9

Abstract: The classical Lebedev index transform [3] involving squares and products of the Legendre functions is generalized on the associated Legendre functions of an arbitrary order. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas… read more here.

Keywords: legendre functions; associated legendre; lebedev type; type index ... See more keywords
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Index transforms with the product of the associated Legendre functions

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recommendations! Published in 2019 at "Integral Transforms and Special Functions"

DOI: 10.1080/10652469.2019.1611804

Abstract: ABSTRACT Index transforms with the product of the associated Legendre functions are introduced. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. The results are applied to solve a boundary value problem… read more here.

Keywords: legendre functions; transforms product; associated legendre; product associated ... See more keywords