Ordinary and Partial Differential Equations

With Special Functions, Fourier Series, and Boundary Value Problems

Authors:

ISBN: 978-0-387-79145-6 (Print) 978-0-387-79146-3 (Online)

Table of contents (50 chapters)

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  1. Front Matter

    Pages I-XIV

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    Book Chapter

    Pages 1-7

    Solvable Differential Equations

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    Book Chapter

    Pages 8-14

    Second-Order Differential Equations

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    Book Chapter

    Pages 15-22

    Preliminaries to Series Solutions

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    Book Chapter

    Pages 23-30

    Solution at an Ordinary Point

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    Book Chapter

    Pages 31-36

    Solution at a Singular Point

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    Book Chapter

    Pages 37-46

    Solution at a Singular Point (Cont’d.)

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    Book Chapter

    Pages 47-56

    Legendre Polynomials and Functions

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    Book Chapter

    Pages 57-63

    Chebyshev, Hermite and Laguerre Polynomials

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    Book Chapter

    Pages 64-74

    Bessel Functions

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    Book Chapter

    Pages 75-82

    Hypergeometric Functions

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    Book Chapter

    Pages 83-89

    Piecewise Continuous and Periodic Functions

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    Book Chapter

    Pages 90-94

    Orthogonal Functions and Polynomials

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    Book Chapter

    Pages 95-103

    Orthogonal Functions and Polynomials (Cont’d.)

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    Book Chapter

    Pages 104-108

    Boundary Value Problems

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    Book Chapter

    Pages 109-118

    Boundary Value Problems (Cont’d.)

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    Book Chapter

    Pages 119-128

    Green’s Functions

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    Book Chapter

    Pages 129-137

    Regular Perturbations

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    Book Chapter

    Pages 138-144

    Singular Perturbations

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    Book Chapter

    Pages 145-156

    Sturm–Liouville Problems

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    Book Chapter

    Pages 157-162

    Eigenfunction Expansions

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