Determinants and Their Applications in Mathematical Physics

Index

Ablowitz and Segur, 237

adjoint and adjugate, 36

adjunct functions, 102

algebraic computing, 226

B ̈acklund transformations, 337

Beckenback, 153, 157

Bessel functions, 336

Brand, 169

Browne and Nillsen, 169

Burchnall, 153

Burgmeier, 97

Carlson, 154

Cauchy, v, 48, 154, 336

Caudrey, 223

Cayley, v

Chalkley, 152

Chaundy, 154

cofactors

alien, 12, 22

derivatives of, 23, 35, 100, 118

double-sum relations, 34, 112

expansion, 20

first, 3, 12

operations on, 24

second and higher, 19

simple and scaled, 23

column vectors, 7

computers and computing, 226

continued fraction, 201

Cordoneanu, 104

Cramer, 13, 24

Cusick, 178, 186

cyclic dislocations, 16

cyclic permutations, 23

Dale, 236, 241, 246, 318

Das, 153

derivative

of cofactors, 23, 35, 100, 118

of determinants, 15

with respect to an element, 12,

20, 24, 27, 43, 88, 111, 185,

192, 268

determinantal solutions, 235

determinants

adjoint or adjugate, 36

arbitrary, 102

basic properties, 8

bordered, 46, 48, 67, 129, 181,

232

Casorati, 169, 303

Cauchy expansion, 36, 48