000			03305nam a22004693i 4500
001			EBC3113977
003			MiAaPQ
005			20240729124556.0
006			m o d |
007			cr cnu||||||||
008			240724s1995 xx o ||||0 eng d
020			_a9781470401214 _q(electronic bk.)
020			_z9780821803592
035			_a(MiAaPQ)EBC3113977
035			_a(Au-PeEL)EBL3113977
035			_a(CaPaEBR)ebr10918930
035			_a(OCoLC)891386221
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA431 -- .J573 1995eb
082	0		_a515/.625
100	1		_aJirari, Alouf.
245	1	0	_aSecond-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1995.
264		4	_c©1995.
300			_a1 online resource (154 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.113
505	0		_aIntro -- 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			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic 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	_aSturm-Liouville equation.
650		0	_aDifference equations.
650		0	_aOrthogonal polynomials.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aJirari, Alouf _tSecond-Order Sturm-Liouville Difference Equations and Orthogonal Polynomials _dProvidence : American Mathematical Society,c1995 _z9780821803592
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113977 _zClick to View
999			_c69508 _d69508