Estimation of the light field inside photosynthetic microorganism cultures through Mittag-Leffler functions at depleted light conditions
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چکیده
منابع مشابه
Mittag-Leffler Functions and Their Applications
Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function, generalized Mittag-Leffler functions, MittagLeffler type functions, and their interesting and useful properties. Applications of G. M. MittagLeffler...
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This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized Mittag-Leffler functions are solutions of these types of equations. In view of ...
متن کاملOn the Mittag-Leffler Property
Let C be a category with strong monomorphic strong coimages, that is, every morphism ƒ of C factors as ƒ = u ° g so that g is a strong epimorphism and u is a strong monomorphism and this factorization is universal. We define the notion of strong Mittag-Leffler property in pro-C. We show that if ƒ : X → Y is a level morphism in pro-C such that ( ) p Y ! " is a strong epimorphism for all β > α, t...
متن کاملMatrix Mittag-Leffler functions of fractional nabla calculus
In this article, we propose the definition of one parameter matrix Mittag-Leffler functions of fractional nabla calculus and present three different algorithms to construct them. Examples are provided to illustrate the applicability of suggested algorithms.
متن کاملFractional integral operators and the multiindex Mittag-Leffler functions
The aim of this paper is to study some properties of multiindex Mittag-Leffler type function E(1/ρj),(μj)(z) introduced by Kiryakova [V. Kiryakova, J. Comput. Appl. Math. 118 (2000), 241-259]. Here we establish certain theorems which provide the image of this function under the Saigo’s fractional integral operators. The results derived are of general character and give rise to a number of known...
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ژورنال
عنوان ژورنال: Journal of Quantitative Spectroscopy and Radiative Transfer
سال: 2018
ISSN: 0022-4073
DOI: 10.1016/j.jqsrt.2017.08.012