Singular differential equations and special functions / (Record no. 71366)

000 -LEADER
fixed length control field 03895cam a2200517Mi 4500
001 - CONTROL NUMBER
control field 9780429030369
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220531132351.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191107s2018 flu ob 001 0 eng
040 ## - Cataloging Source
-- OCoLC-P
-- eng
-- rda
-- OCoLC-P
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429030369 (electronic bk)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429030363 (electronic bk)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429638473
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429638477
-- (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780429641640
-- (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0429641648
-- (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780367137236
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 0367137232
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1127538721
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC-P)1127538721
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA351
Item number .C2525 2018
072 #7 -
-- MAT
-- 003000
-- bisacsh
072 #7 -
-- MAT
-- 007000
-- bisacsh
072 #7 -
-- MED
-- 000000
-- bisacsh
072 #7 -
-- TBJ
-- bicssc
082 04 -
-- 515/.5
-- 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Campos, Luis Manuel Braga da Costa,
Relator term author.
245 10 - TITLE STATEMENT
Title Singular differential equations and special functions /
Statement of responsibility, etc. Luis Manuel Braga da Campos.
264 #1 -
-- Boca Raton :
-- CRC Press, Taylor & Francis Group,
-- 2018.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (pages cm.)
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
520 ## -
-- 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. Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions
588 ## -
-- OCLC-licensed vendor bibliographic record.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions, Special.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical analysis.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Applied
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Differential Equations
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MEDICAL / General
Source of heading or term bisacsh
856 40 -
-- Taylor & Francis
-- https://www.taylorfrancis.com/books/9780429030369
856 42 -
-- OCLC metadata license agreement
-- http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf

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