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Mathematical Methods in Science and Engineering [2006]

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