From Bessel to Multi-Index MittagLeffler Functions: Enumerable Families, Series in them and Convergence - Image 1

£56.47

Scientific Publishing From Bessel to Multi-Index MittagLeffler Functions: Enumerable Families, Series in them and Convergence

Name: From Bessel to Multi-Index MittagLeffler Functions: Enumerable Families, Series in them and Convergence
Brand: Scientific Publishing
Price: 56.47 GBP
Availability: InStock

Differential Equations

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Description

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. Review The main concern in the book is the convergence of series in such functions in the complex plane, and the author provides a unified approach to handle this matter. --Fractional Calculus and Applied AnalysisThis is a well-organised and well-written book that aims to show the power of special functions. This book contains a great deal of information and it is recommended to those interested in special functions. --Mathematical Reviews Clippings

Product Specifications

Brand: Scientific Publishing
Format: hardcover
ASIN: 1786340887
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 05 October 2016
Listed Since: 29 February 2016

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Scientific Publishing From Bessel to Multi-Index MittagLeffler Functions: Enumerable Families, Series in them and Convergence

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