Preface
xi
Table 4 Special functions N–Z
Function name
Notation
Section
Neumann function
Y ν (z)
4.3
Oblate spheroidal function
R m
n (x)
3.4
Oblate spheroidal function
T m
n (x)
3.4
Pochhammer symbol
(z) w
1.3
Psi function
ψ(z)
1.4
Riemann zeta function
ζ(s)
20.1
Ring function, first kind
P
μ
−
1
2 +τ
(z)
3.4
Ring function, second kind
Q
μ
−
1
2 +τ
(z)
3.4
Scorer function
Gi(z)
4.2
Scorer function
H i(z)
4.2
Spherical harmonics
Y
m
l (θ, φ)
3.3
Struve function
H ν (z)
5.2
Struve function
K ν (z)
5.2
ϑ functions
ϑ n (z, τ ), n ∈ {1, 2, 3, 4}
9.2
Toroidal function, first kind
P
μ
−
1
2 +τ
(z)
3.4
Toroidal function, second kind
Q
μ
− 1
2 +τ
(z)
3.4
Voigt profile
U(x, t)
2.3
Voigt profile
V (x, t)
2.3
Voigt profile, line broadening
H (a, u)
2.3
Wave function, radial
R n,l (r)
17.1
Weber function
E ν (z)
5.3
Weierstraß elliptic functions
℘ (z), σ (z), ζ(z)
12.2
Whittaker function
M a,b (z)
6.3
Whittaker function
W a,b (z)
6.3
Wigner function
W (q, p)
16.3
Wigner rotation function
d
l
m,m (β)
15.5
Wigner 3j-symbol
(· · · )
22.1.2
Wigner 6j-symbol
{· · · }
22.1.3
Wigner 9j-symbol
{· · · }
22.1.4
Zernike polynomial
Z m
n (ρ, φ)
15.3.1