Second-order Sturm-Liouville difference equations and orthogonal polynomials /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jirari, Alouf, 1965- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1995.
Colección:Memoirs of the American Mathematical Society ; no. 452.
Temas:
Sturm-Liouville equation.
Difference equations.
Orthogonal polynomials.
Équation de Sturm-Liouville.
Équations aux différences.
Polynômes orthogonaux.
Difference equations
Orthogonal polynomials
Sturm-Liouville equation
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • Chapter 6. The Four Representative Examples6.1 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

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