INTEGRAL TRANSFORMATION WITH THE MITTAG–LEFFLER FUNCTION IN SPACES OF LEBESGUE-MEASURABLE FUNCTIONS
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Abstract
One integral transformation with a special Mittag – Leffler function in the kernel is considered. Using the Mellin transformation technique, we show that it is a special case of the one-dimensional H-transformation. Based on the theory of the H-transformation, the properties of the considered integral transformation in the spaces of integrable functions with a weight on the semiaxis are investigated.
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References
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