PartitionsQ (Built-in Mathematica Symbol)

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.

PowerMod (Built-in Mathematica Symbol)

PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.

QHypergeometricPFQ (Built-in Mathematica Symbol)

QHypergeometricPFQ[{a_1, ..., a_r}, {b_1, ..., b_s}, q, z] gives the basic hypergeometric series \[Null]_r \[Phi]_s (a; b; q; z).

QPolyGamma (Built-in Mathematica Symbol)

QPolyGamma[z, q] gives the q-digamma function \[Psi]_q (z).QPolyGamma[n, z, q] gives the n\[Null]^th derivative of the q-digamma function \[Psi]_q^(n)(z).

RamanujanTauL (Built-in Mathematica Symbol)

RamanujanTauL[s] gives the Ramanujan tau Dirichlet L-function L(s).

Sinc (Built-in Mathematica Symbol)

Sinc[z] gives sinc(z).

SphericalHarmonicY (Built-in Mathematica Symbol)

SphericalHarmonicY[l, m, \[Theta], \[Phi]] gives the spherical harmonic Y_l^m(\[Theta], \[Phi]).

SpheroidalPSPrime (Built-in Mathematica Symbol)

SpheroidalPSPrime[n, m, \[Gamma], z] gives the derivative with respect to z of the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.

SpheroidalQS (Built-in Mathematica Symbol)

SpheroidalQS[n, m, \[Gamma], z] gives the angular spheroidal function QS n, m (\[Gamma], z) of the second kind.

SpheroidalQSPrime (Built-in Mathematica Symbol)

SpheroidalQSPrime[n, m, \[Gamma], z] gives the derivative with respect to z of the angular spheroidal function QS n, m (\[Gamma], z) of the second kind.