Index
279
EllipWeier, 153
Erf, 23
Erfc, 23
ErfComp, 23, 26
Error function, 23, 24
Error integral, 27
Eulen, 225, 230
Eulepoly, 225, 230
Euler numbers, 229
Euler polynomial, 225, 229
Eulex, 225, 230
Exponential integral, 13
F
Fresnel, 24, 31
Fresnel cosine integral functions, 30
Fresnel integrals, 24, 30
Fresnel sine integral functions, 30
Funm, 208
G
Gamma, 2, 5
GammaC, 2, 5
Gamma function, 1
incomplete, 2
Gammainc, 2, 11, 20
Gammaincinv, 11, 20
Gammaln, 2, 5
GammalnC, 2, 5
Gauss differential equation, 113
Gausshyp, 113, 119
Gauss quadrature, 185
Gegenbauerpoly, 182
Gegenbauer polynomial, 181, 189, 193
Gegenbauerx, 182, 190
plot, 192
Gegenbauerzero, 182, 192
Generating function, 184
H
Hankel functions, 71, 74
Harmonic oscillator, 203
Harmonoscwave, 200, 204
Hatomeig, 237
Hatomeig.m, 247
Hermite interpolation polynomial, 239
Hermite interpolation polynomial, extended,
242
Hermitepoly, 200, 202
Hermite polynomial, 25, 199, 200, 203
generating function, 200
Jacobi matrix, 201
parity, 201
Rodrigues formula, 200
Hermitex, 200, 202
plot, 202
Hermitezero, 200, 203
Heumann Λ function, 140, 148
Hrad, 211, 214
Hydrogen atom
momentum representation, 190
Hypergeometric equation, 113
Hypergeometric function, 91, 113
0 F 1 , 96
2 F 0 , 94
Hypergeometric series, 113
Hyperspherical coordinates, 274
Hyper2c, 259, 274
I
IncbetaC, 2, 20
IncgammaC, 2, 11
Incomplete beta function, 2
Incomplete gamma function, 2, 8
derivatives, 12
inverse, 12
Interpolation
piecewise polynomial, 237
InvincgammaC, 2, 12
Ippolynom, 237
J
Jacobi elliptic functions, 131
Jacobi ϑ function, 123
Jacobi matrix, 184
Jacobipoly, 182, 194
Jacobi polynomial, 181, 192
generating function, 193
hypergeometric function, 193
Jacobi’s identity, 156
Jacobi symbol, 123, 128
JacobiTheta, 123, 127
Jacobix, 182, 194
plot, 195
Jacobizero, 182, 196
Jacobi zeta function, 140, 147
Jj3j, 251, 256
Jj6j, 251, 256
Jj9j, 251, 257
JjCG, 251, 255