Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse
نویسندگان
چکیده
منابع مشابه
Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
The generalized Mittag-Leffler function Eα,β (z) has been studied for arbitrary complex argument z ∈ C and parameters α ∈ R+ and β ∈ R. This function plays a fundamental role in the theory of fractional differential equations and numerous applications in physics. The Mittag-Leffler function interpolates smoothly between exponential and algebraic functional behaviour. A numerical algorithm for i...
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*Correspondence: [email protected] 3Department of Mathematical Sciences, UAE University, Al Ain, United Arab Emirates Full list of author information is available at the end of the article Abstract In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involvin...
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ژورنال
عنوان ژورنال: Fractional Calculus and Applied Analysis
سال: 2015
ISSN: 1314-2224,1311-0454
DOI: 10.1515/fca-2015-0086