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math.GM2024
Fractional-Diffraction-Optics Cauchy Problem: Resolvent-Function Solution of the Matrix Integral Equation
Murat O. Mamchuev, Felix N. Chukhovskii
The fractional diffraction optics theory has been elaborated using the Green function technique. The optics-fractional equation describing the diffraction X-ray scattering by imper…
math.GM2019
New estimate for the multinomial Mittag-Leffler function
Murat Mamchuev
In this paper, a new estimate is obtained for the multinomial Mittag-Leffler function. This function was introduced by Yuri Luchko and Rudolfo Gorenflo as the fundamental solution…