This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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gives the basic hypergeometric series .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • has series expansion .
  • The basic hypergeometric series is defined for .
  • For , the basic hypergeometric series is defined for .
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
TraditionalForm formatting:
Two natural -extensions of the exponential function:
The -binomial theorem:
-analog of Legendre polynomial:
QHypergeometricPFQ is not closed under differentiation with respect to :
It is closed under -difference:
Series expansions:
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