MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.
WeierstrassZeta[u, {g_2, g_3}] gives the Weierstrass zeta function \[Zeta](u; g_2, g_3).
HurwitzZeta[s, a] gives the Hurwitz zeta function \[Zeta](s, a).
WhittakerW[k, m, z] gives the Whittaker function W k, m (z).
StruveL
(Built-in Mathematica Symbol) StruveL[n, z] gives the modified Struve function L n (z).
NevilleThetaN[z, m] gives the Neville theta function \[CurlyTheta]_n (z \[VerticalSeparator] m).
ExponentialGeneratingFunction[expr, n, x] gives the exponential generating function in x for the sequence whose n\[Null]^th term is given by the expression ...
Unitize
(Built-in Mathematica Symbol) Unitize[x] gives 0 when x is zero, and 1 when x has any other numerical value.
When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...
LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).