Index
Symbols
3j-symbol, 251, 253, 254, 256
6j-symbol, 251, 254, 256
9j-symbol, 251, 255, 257
A
Airy, 66
differential equation, 66
Airy functions, 65, 66
Airyrel, 66, 68
Am, 132
Anger Function, 81
Angular momentum, 251
coupling, 253
Angweb, 88
Anha01, 200, 210
Anharmonic oscillator, 203, 208
Anharmosc, 200, 209
Anti-Stokes Lines, 66
Associate Legendre function, 34, 253
B
Bei, 77
Bepolymeth, 225, 227
Ber, 77
Bernn, 225, 227
Bernoulli numbers, 226
Bernoulli polynomial, 225, 226
Bernpoly, 225, 227
Bernx, 225, 228
Bessel equation, 71
Bessel functions, 65
first kind, 71
H (1) , H (2) , 71
H (1) , H (2) , 74
I, 74, 75
J, 71, 72
K, 74
modified, 74
modified, first kind, 75
modified, second kind, 75
N, 71
second kind, 71
spherical, 66, 76
third kind, 71
Y, 71, 73
Besselh, 78
Besseli, 78
Besselj, 78
Besselk, 78
Bessely, 78
Beta, 2
BetaC, 2, 16
Beta function, 2, 15
incomplete, 2
Betainc, 2, 20
Betaln, 2
BetalnC, 2, 16
Bexplot, 225, 228
Binomial coefficient, 16
Böhmer integral, 13
C
Cartesian coordinates, 260
Cd, 132
Charlier polynomial, 99
Chebypoly, 215, 221
Chebyshev approximation, 223
Chebyshev differential equation, 219
Chebyshev function, 220
Chebyshev polynomial, 193, 215
computation, 220
first kind, 216
fourth kind, 216
orthogonality, 217, 218
recurrence formula, 216
Rodrigues equation, 219
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
W. Schweizer, Special Functions in Physics with MATLAB,
https://doi.org/10.1007/978-3-030-64232-7
277
Symbols
3j-symbol, 251, 253, 254, 256
6j-symbol, 251, 254, 256
9j-symbol, 251, 255, 257
A
Airy, 66
differential equation, 66
Airy functions, 65, 66
Airyrel, 66, 68
Am, 132
Anger Function, 81
Angular momentum, 251
coupling, 253
Angweb, 88
Anha01, 200, 210
Anharmonic oscillator, 203, 208
Anharmosc, 200, 209
Anti-Stokes Lines, 66
Associate Legendre function, 34, 253
B
Bei, 77
Bepolymeth, 225, 227
Ber, 77
Bernn, 225, 227
Bernoulli numbers, 226
Bernoulli polynomial, 225, 226
Bernpoly, 225, 227
Bernx, 225, 228
Bessel equation, 71
Bessel functions, 65
first kind, 71
H (1) , H (2) , 71
H (1) , H (2) , 74
I, 74, 75
J, 71, 72
K, 74
modified, 74
modified, first kind, 75
modified, second kind, 75
N, 71
second kind, 71
spherical, 66, 76
third kind, 71
Y, 71, 73
Besselh, 78
Besseli, 78
Besselj, 78
Besselk, 78
Bessely, 78
Beta, 2
BetaC, 2, 16
Beta function, 2, 15
incomplete, 2
Betainc, 2, 20
Betaln, 2
BetalnC, 2, 16
Bexplot, 225, 228
Binomial coefficient, 16
Böhmer integral, 13
C
Cartesian coordinates, 260
Cd, 132
Charlier polynomial, 99
Chebypoly, 215, 221
Chebyshev approximation, 223
Chebyshev differential equation, 219
Chebyshev function, 220
Chebyshev polynomial, 193, 215
computation, 220
first kind, 216
fourth kind, 216
orthogonality, 217, 218
recurrence formula, 216
Rodrigues equation, 219
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
W. Schweizer, Special Functions in Physics with MATLAB,
https://doi.org/10.1007/978-3-030-64232-7
277
