What's New
About the Project
NIST
Notations

Notations D

*ABC♦D♦EFGHIJKLMNOPQRSTUVWXYZ
𝒟(I)
test function space; 1.16(i)
D(k)
complete elliptic integral of Legendre’s type; (19.2.8)
dx
differential of x; 1.4(iv)
d(n)
divisor function; (27.2.9)
d(n)
derangement number; 26.13
x
partial differential of x; (1.5.3)
𝒟q
q-differential operator; (17.2.41)
Dν(z)
parabolic cylinder function; 12.1
dk(n)
divisor function; 27.2(i)
dqx
q-differential; 17.2(v)
Dα
fractional derivative; (1.15.51)
D(m,n)
Dellanoy number; (26.6.1)
D(ϕ,k)
incomplete elliptic integral of Legendre’s type; (19.2.6)
𝔇lm(θ,ϕ)Yl,m(θ,ϕ)
alternative notation; 14.30(i)
(with Yl,m(θ,ϕ): spherical harmonic)
Dj(ν,μ,z)
cross-products of modified Mathieu functions and their derivatives; (28.28.24)
dc(z,k)
Jacobian elliptic function; (22.2.8)
Dcj(n,m,z)
cross-products of radial Mathieu functions and their derivatives; (28.28.39)
dfdx
derivative of f with respect to x; (1.4.4)
fx
partial derivative of f with respect to x; (1.5.3)
(f,g)(x,y)
Jacobian; (1.5.38)
dE2n+1m(z,k2)
Lamé polynomial; (29.12.4)
Δ
forward difference operator; 3.6(i)
δj,k
Kronecker delta; Common Notations and Definitions
Δ(τ)
discriminant function; (27.14.16)
δ(x-a)
Dirac delta (or Dirac delta function); 1.17(i)
δx
central difference; 18.1(i)
Δx
forward difference; 18.1(i)
det
determinant; 1.3(i)
div
divergence of vector-valued function; (1.6.21)
dn(z|m)=dn(z,m)
alternative notation; 22.1
(with dn(z,k): Jacobian elliptic function)
dn(z,k)
Jacobian elliptic function; (22.2.6)
ds(z,k)
Jacobian elliptic function; (22.2.7)
Dsj(n,m,z)
cross-products of radial Mathieu functions and their derivatives; (28.28.35)
Dscj(n,m,z)
cross-products of radial Mathieu functions and their derivatives; (28.28.40)