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).

Testing for numeric quantities. Pi is a symbol, so Pi+3 is not explicitly a number. It does however have a numerical value.

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Glaisher is Glaisher's constant with numerical value \[TildeEqual] 1.28243.

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).

MangoldtLambda[n] gives the von Mangoldt function \[CapitalLambda](n).

Off[symbol::tag] switches off a message, so that it is no longer printed. Off["name"] switches off a named group of messages.Off[s] switches off tracing messages associated ...

Most mathematical functions in Mathematica are set up to apply themselves separately to each element in a list. This is true in particular of all functions that carry the ...

Mathematica contains the world's largest collection of number theoretic functions, many based on specially developed algorithms.

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...