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008 160905s2017 enka ob 001 0 eng d
010 _a 2016014416
020 _a9781786340894
040 _aWSPC
_beng
_cWSPC
072 7 _aMAT
_x005000
_2bisacsh
072 7 _aMAT
_x007000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
082 0 4 _a515.55
100 1 _aPaneva-Konovska, Jordanka.
245 1 0 _aFrom Bessel to Multi-Index Mittag–Leffler Functions :
_bEnumerable Families, Series in them and Convergence
260 _aSingapore :
_bWorld Scientific Pub. Co.,
_c©2017.
300 _a228 p.
500 _aTitle from PDF file title page (viewed September 29, 2016).
504 _aIncludes bibliographical references (p. 191-199) and index.
520 _a"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."--Publisher's website.
533 _aElectronic reproduction.
_bSingapore :
_cWorld Scientific,
_d[2016].
538 _aMode of access: World Wide Web.
650 0 _aFractional calculus.
650 0 _aBessel functions.
650 0 _aElectronic books.
856 4 0 _uhttp://www.worldscientific.com/worldscibooks/10.1142/Q0026#t=toc
_zebook
942 _2ddc
_cEBK
999 _c2343
_d2343