VariationalD (Variational Methods Package Symbol)

VariationalD[f, u[x ], x] returns the variational derivative of the integral \[Integral]f \[DifferentialD]x with respect to u[x], where the integrand f is a function of u, ...

ArcLengthFactor (Vector Analysis Package Symbol)

ArcLengthFactor[{f_1, f_2, f_3}, t] gives the derivative of the arc length of the curve described by the parametrized curve coordinates {f_1, f_2, f_3} with respect to the ...

JacobianDeterminant (Vector Analysis Package Symbol)

JacobianDeterminant[pt] gives the determinant of the Jacobian matrix of the transformation from the default coordinate system to the Cartesian coordinate system at the point ...

BesselI (Built-in Mathematica Symbol)

BesselI[n, z] gives the modified Bessel function of the first kind I_n (z).

BesselK (Built-in Mathematica Symbol)

BesselK[n, z] gives the modified Bessel function of the second kind K_n (z).

BesselY (Built-in Mathematica Symbol)

BesselY[n, z] gives the Bessel function of the second kind Y_n (z).

DGaussianWavelet (Built-in Mathematica Symbol)

DGaussianWavelet[] represents a derivative of Gaussian wavelet of derivative order 2.DGaussianWavelet[n] represents a derivative of Gaussian wavelet of derivative order n.

FourierCosCoefficient (Built-in Mathematica Symbol)

FourierCosCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier cosine series expansion of expr.FourierCosCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...

FourierSinCoefficient (Built-in Mathematica Symbol)

FourierSinCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier sine series expansion of expr.FourierSinCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] ...

Hypergeometric2F1Regularized (Built-in Mathematica Symbol)

Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function \[Null]_2 F_1 (a, b; c; z)/\[CapitalGamma](c).