Page 388 - Determinants and Their Applications in Mathematical Physics

Index

Ablowitz and Segur, 237 simple and scaled, 23
adjoint and adjugate, 36 column vectors, 7
adjunct functions, 102 computers and computing, 226
algebraic computing, 226 continued fraction, 201
Cordoneanu, 104
B¨acklund transformations, 337 Cramer, 13, 24
Beckenback, 153, 157 Cusick, 178, 186
Bessel functions, 336 cyclic dislocations, 16
Brand, 169 cyclic permutations, 23
Browne and Nillsen, 169
Burchnall, 153 Dale, 236, 241, 246, 318
Burgmeier, 97 Das, 153
derivative
Carlson, 154 of cofactors, 23, 35, 100, 118
Cauchy, v, 48, 154, 336 of determinants, 15
Caudrey, 223 with respect to an element, 12,
Cayley, v 20, 24, 27, 43, 88, 111, 185,
Chalkley, 152 192, 268
Chaundy, 154 determinantal solutions, 235
cofactors determinants
alien, 12, 22 adjoint or adjugate, 36
derivatives of, 23, 35, 100, 118 arbitrary, 102
double-sum relations, 34, 112 basic properties, 8
expansion, 20 bordered, 46, 48, 67, 129, 181,
first, 3, 12 232
operations on, 24 Casorati, 169, 303
second and higher, 19 Cauchy expansion, 36, 48