Page 390 - Determinants and Their Applications in Mathematical Physics

Index 375

Identities Nakamura, A., 240
Cauchy, 36 Nakamura, Y., 243, 245
Cusick, 178 Neugebauer, 244
double-sum, 112 Nimmo, 240
equivalent determinants, 212 numbers
Hirota operator, 221 binomial and factorial, 212
hybrid determinant, 37, 55 complex, 79, 256
Jacobi and variants, 38 Eulerian, 325
matrix, 165, 233 prime, 232
Matsuno, 187 Stirling, 217, 306, 324
multiple-sum, 311 v-, 137
Vandermondian, 60, 63
integral equations Ohta, 169, 246
Fredholm, 240 operations, row and column, 10
Gelfand, Levitan, and operators
Marchenko, 236 associated with cofactors, 24
Inverceanu, 84 Hirota, 221

Jacobi, v, 38 Pandres, 174
permutations, 307
Kac, 237 Pfaffians, 73
Kajiwara, 169, 238 Pipes, 84
Karlin, 109, 153 plasma, 238
Kaufman, 84 polynomials
Kerr, 244 Appell, 314
Kronecker delta function, 304 characteristic, 94
Kyriakopoulos, 244 Euler and Eulerian, 157, 323
Hermite, 322
Lamb, 240 homogeneous, 112
Langmuir waves, 238 identical, 212
Laplace, v Laguerre, 153, 321
Laplace expansion, 25 Lawden, 157
lattice theory, 235 Legendre, 154, 322
Laurent series, 335 orthogonal, 153, 321
Lawden, 153, 157, 165 symmetric, 54, 326
Leibniz, v, 221 P¨oppe, 240
l’Hopital, 52 product of two, three determinants,
Littlewood, 187 5, 33, 35
Liu, 169
Reciprocal differences, 238
Matsuno, 187, 192, 241, 281 reciprocal power series, 92
Milne–Thomson, 169, 238 recurrence relations, 264, 265, 321,
Mina, 99 322
minors rejecter and retainer minors, 18
complementary, 19 relativity theory, 235, 241
first, 12 Rodrigues, 127, 154, 174, 321, 322,
rejecter and retainer, 18 323
second and higher, 19 R¨osler, 174
Muir and Metzler, v, 78, 177, 341 row vectors, 7