From Bessel To Multi-index Mittag-leffler Functions: Enumerable Families, Series In Them And Convergence
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A01=Jordanka Paneva-konovska
Author_Jordanka Paneva-konovska
Bessel Functions and Generalizations
Category=PBK
Convergence
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Mittag-Leffler Functions and Generalizations
MittagAcAEURA"Leffler Functions and Generalizations
Mittag–Leffler Functions and Generalizations
Overconvergence
Series
Special Functions
Product details
- ISBN 9781786340887
- Publication Date: 18 Oct 2016
- Publisher: World Scientific Europe Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Bessel and Mittag-Leffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional models within applied mathematics. Since the analytical solutions of many differential and integral equations of arbitrary order can be written as series of special functions of fractional calculus, they are now unavoidable tools for handling various mathematical models of integer or fractional order. From Bessel to Multi-Index Mittag-Leffler Functions analyzes this through the study of enumerable families of different classes of special functions.Enumerable families are considered and the convergence of series is investigated. Providing a unified approach to the classical power series, analogues of the classical results for the power series are obtained, and the conclusion is that each of the considered series has a similar convergence behavior to a power series. Also studied are various properties of the Bessel and Mittag-Leffler functions and their generalizations, including estimations, asymptotic formulae, fractional differentiation and integration operators.
