QHypergeometricPFQ

QHypergeometricPFQ[{a1,,ar},{b1,,bs},q,z]

gives the basic hypergeometric series .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • has series expansion sum_(k=0)^infty(TemplateBox[{{a, _, 1}, q, k}, QPochhammer]... TemplateBox[{{a, _, r}, q, k}, QPochhammer])/(TemplateBox[{{b, _, 1}, q, k}, QPochhammer]... TemplateBox[{{b, _, s}, q, k}, QPochhammer])((-1)^kq^(k (k-1)/2))^(1+s-r)(z^k)/(TemplateBox[{q, q, k}, QPochhammer]).
  • For , the basic hypergeometric series is defined for .

Examples

open allclose all

Basic Examples  (1)

In[1]:=
Click for copyable input
Out[1]=

Scope  (4)

Applications  (3)

Properties & Relations  (2)

See Also

QPochhammer  HypergeometricPFQ

Introduced in 2008
(7.0)