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Integral transform with the extended generalized Mittag‐Leffler function

    A. A. Kilbas Affiliation
    ; A. A. Koroleva Affiliation

Abstract

The paper is devoted to the study of the integral transform



containing the special function å((á, â) n ;z) generalizing the Mittag‐Leffler type function in the space Â£v,r (1 ≤ r ≤ 8, í ∈ R) of Lebesgue measurable functions on R+ = (0,+8) such that ‖ƒ‖ v,r < 8, where



Mapping properties such as the boundedness, the range, the representation and the inversion of the considered transform are proved. The results are based on the representation of the considered transform as the H‐transform.


First Published Online: 14 Oct 2010

Keyword : Mittag‐Leffler type function, space of p-summable funcitons, H-function, H‐transform

How to Cite
Kilbas, A. A., & Koroleva, A. A. (2006). Integral transform with the extended generalized Mittag‐Leffler function. Mathematical Modelling and Analysis, 11(2), 173-186. https://doi.org/10.3846/13926292.2006.9637311
Published in Issue
Jun 30, 2006
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