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040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082	0	0	_a517.9 _bCAM-S
100	1		_aCampos, Luis Manuel Braga da Costa
245	1	0	_aSingular differential equations and special functions
260			_aBoca Raton : _bCRC Press, Taylor & Francis Group, _c2020.
300			_axxiv, 334 pages : _billustrations ; _c24 cm.
490	0		_aMathematics and physics for science and technology _vTopic B - Boundary and Initial-Value Problems, volume 4 - Ordinary differential equations with applications to trajectories and oscillations, book 8
504			_aIncludes bibliographical references and index.
520			_aSingular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions.
650		0	_aFunctions, Special.
650		0	_aDifferential equations.
650		0	_aMathematical analysis.
856			_3Table of content _uhttps://www.routledge.com/Singular-Differential-Equations-and-Special-Functions/BragadaCostaCampos/p/book/9780367137236#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/42815246-singular-differential-equations-and-special-functions?ref=nav_sb_ss_1_13#CommunityReviews
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