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Abstract: The theory of hyper-Bessel differential operators of arbitrary order m > 1 has been shown to be closely related to the Meijer's G-functions ([9], [10], [18], [20]-[25], [27]). However, most of the operational calculi, integral transforms and solutions to the Bessel type differential equations developed by different authors concern special cases mainly of order m = 2 when the role of...
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