Mathematical Physics Vol 1

Index

Abelian group, 19 addition of vectors, 32 amplitude

second order equation, 360

Caputo

Left-sided Derivative, 459 Right-sided Derivative, 459 Caputo fractional derivative left, 443 right, 443 Cartesian coordinate system, 15

of elliptic integral, 259

angular amplitude, 299 approximation mean square, 317 arc length, 111 axes of the coordinate system in the plane, 14 axis, 14

Cauchy integral, 385 Cauchy problem, 342 Cauchy repeated integration formula, 441

central force, 155 circle–product, 50 scalar, 53 circular permutation, 26 classification

base, 29 base metric tensor, 113 basic solution

of the Laplace equation in the plane, 370 of the Laplace equation in the space, 369

of second order partial equations with n variables, 362

Bessel

coefficients

differential equation, 234

Euler, 310 Fourier, 265 Lamé, 110, 114 metric, 110 commutative group, 19

Bessel function

of the first kind, 238 beta function, 251, 252 binary operation, 17 binormal, 73

commutativity of scalar product, 57 complementary error function, 253 complementary modulus, 260 complete elliptic integral of the first kind, 259

canonical form

elliptic equation, 360 hyperbolic equation, 359 parabolic equation, 360