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Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials. (Record no. 69508)

MARC details
000 -LEADER
fixed length control field 03305nam a22004693i 4500
001 - CONTROL NUMBER
control field EBC3113977
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124556.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s1995 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470401214
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821803592
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3113977
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3113977
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10918930
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)891386221
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA431 -- .J573 1995eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.625
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Jirari, Alouf.
245 10 - TITLE STATEMENT
Title Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 1995.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©1995.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (154 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.113
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Table of Contents -- List of Figures -- Acknowledgements -- Chapter 1. Introduction -- 1.1 The Vibrating String -- 1.2 Network Theory -- 1.3 Random Walk With Discrete Time Process -- Chapter 2. Regular Sturm-Liouville Problem -- 2.1 Set Up -- 2.2 Preliminary Results -- 2.3 Orthogonality, Eigenfunction Expansion, Spectral Function, and Green's Function -- Chapter 3. Singular Sturm-Liouville Problem -- 3.1 Definition -- 3.2 C[sub(b')] Circles -- 3.3 C[sub(a')] Circles -- 3.4 Existence of Boundary Conditions -- 3.5 Singular Boundary Value Problems -- 3.6 Green's Function -- 3.7 Self-Adjointness -- 3.8 λ-Independence of Boundary Conditions -- 3.9 Green's Formulas -- 3.10 Spectral Resolution -- 3.11 Limit-Point and Limit-Circle Tests -- Chapter 4. Polynomial Solutions -- 4.1 Formal Self-Adjointness -- 4.2 Polynomial Solutions -- 4.3 Orthogonality of Eigenfunctions -- 4.4 Eigenfunction Expansion -- Chapter 5. Polynomial Examples -- 5.1 Classification -- 5.2 Recurrence Relations -- 5.3 Weight Functions and Self-Adjoint Forms -- 5.4 Orthogonality -- 5.5 Evaluation of the ||.||[sup(2)] -- 5.6 Zeros -- Chapter 6. The Four Representative Examples -- 6.1 The Generalized Tchebyshev Polynomials -- 6.2 The Generalized Laguerre Polynomials -- 6.3 The Krawtchouk Polynomials -- 6.4 The Charlier Polynomials -- Chapter 7. Left-Definite Spaces -- 7.1 Finite Intervals -- 7.2 Infinite Intervals -- References.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Sturm-Liouville equation.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Difference equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Orthogonal polynomials.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Jirari, Alouf
Title Second-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials
Place, publisher, and date of publication Providence : American Mathematical Society,c1995
International Standard Book Number 9780821803592
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113977">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113977</a>
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