viii Contents A.2. Matrix analysis 187 A.3. The Hilbert–Schmidt integral operators 189 A.4. The Fredholm integral equations 190 A.5. Green function of a differential equation 194 Appendix B. Special Functions 197 B.1. The gamma function 197 B.2. The hypergeometric functions 199 B.3. The Legendre functions 200 B.4. The Bessel functions 202 B.5. Inversion formulas 205 References 209 Subject Index 215 Notation Index 219

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