Integral transform with the extended generalized Mittag‐Leffler function

    A. A. Kilbas Info
    A. A. Koroleva Info

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

Keywords:

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

Share

Published in Issue
June 30, 2006
Abstract Views
553

View article in other formats

CrossMark check

CrossMark logo

Published

2006-06-30

Issue

Section

Articles

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

Share