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Displaying similar documents to “On certain properties of Hankel transform”

Hankel type integral transforms connected with the hyper-Bessel differential operators

Yurii Luchko, Virginia Kiryakova (2000)

Banach Center Publications

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In this paper we give a solution of a problem posed by the second author in her book, namely, to find symmetrical integral transforms of Fourier type, generalizing the cos-Fourier (sin-Fourier) transform and the Hankel transform, and suitable for dealing with the hyper-Bessel differential operators of order m>1 B : = x - β ∏ j = 1 m ( x ( d / d x ) + β γ j ) , β>0, γ j ∈ R , j=1,...,m. We obtain such integral transforms corresponding to hyper-Bessel operators of even order 2m and belonging to the class of the Mellin convolution type...