TY  - BOOK
AU  - Campos,Luis Manuel Braga da Costa
TI  - Singular differential equations and special functions
T2  - Mathematics and physics for science and technology
SN  - 9780367137236
U1  - 517.9 
PY  - 2020///
CY  - Boca Raton
PB  - CRC Press, Taylor & Francis Group
KW  - Functions, Special
KW  - Differential equations
KW  - Mathematical analysis
N1  - Includes bibliographical references and index
N2  - Singular 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
UR  - https://www.routledge.com/Singular-Differential-Equations-and-Special-Functions/BragadaCostaCampos/p/book/9780367137236#googlePreviewContainer
UR  - https://www.goodreads.com/book/show/42815246-singular-differential-equations-and-special-functions?ref=nav_sb_ss_1_13#CommunityReviews
ER  -