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Mathematical Methods in Science and Engineering [2006]
- 1
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Nature and Mathematics
- 9
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Legendre Equation and Polynomials
- 43
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Laguerre Polynomials
- 57
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Hermite Polynomials
- 71
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Gegenbauer and Chebyshev Polynomials
- 83
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Bessel Functions
- 99
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Hypergeometric Functions
- 107
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Sturm‐Liouville Theory
- 121
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Sturm‐Liouville Systems and the Factorization Method
- 163
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Coordinates and Tensors
- 223
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Continuous Groups and Representations
- 293
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Complex Variables and Functions
- 335
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Complex Integrals and Series
- 379
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Fractional Derivatives and Integrals: “Differintegrals”
- 431
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Infinite Series
- 477
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Integral Transforms
- 517
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Variational Analysis
- 547
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Integral Equations
- 567
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Green's Functions
- 633
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Green's Functions and Path Integrals
- 665
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References
- 669
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Index
- i
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Frontmatter