q Functions

Introduced soon after ordinary hypergeometric functions, the functions have long been studied as theoretical generalizations of hypergeometric and other functions. The Wolfram Language for the first time allows full numerical evaluation of functions, as well as extensive symbolic manipulationallowing routine use of functions in closed forms for sums, products, recurrence equation solutions, and more.

ReferenceReference

q Products

QPochhammer  ▪  QFactorial  ▪  QBinomial  ▪  QGamma

q Sums

QHypergeometricPFQ  ▪  QPolyGamma

Sum, Product compute sums and products involving functions

RSolve solve -recurrence relations

Related Functions

DedekindEta  ▪  KleinInvariantJ  ▪  ModularLambda  ▪  EllipticTheta  ▪  InverseEllipticNomeQ