From Bessel to Multi-Index Mittag-Leffler Functions: Enumerable Families, Series in Them and Convergence
From Bessel to Multi-Index Mittag-Leffler Functions: Enumerable Families, Series in Them and Convergence

From Bessel to Multi-Index Mittag-Leffler Functions: Enumerable Families, Series in Them and Convergence


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About the Book

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.


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Product Details
  • ISBN-13: 9781786340887
  • Publisher: World Scientific Publishing Europe Ltd
  • Publisher Imprint: World Scientific Publishing Europe Ltd
  • Height: 231 mm
  • No of Pages: 228
  • Series Title: English
  • Sub Title: Enumerable Families, Series in them and Convergence
  • Width: 157 mm
  • ISBN-10: 1786340887
  • Publisher Date: 18 Oct 2016
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 18 mm
  • Weight: 526 gr


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From Bessel to Multi-Index Mittag-Leffler Functions: Enumerable Families, Series in Them and Convergence
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From Bessel to Multi-Index Mittag-Leffler Functions: Enumerable Families, Series in Them and Convergence
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