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HypergeometricPFQ

  • HypergeometricPFQ[ , ... , , , ... , , z ] is the generalized hypergeometric function .
  • Mathematical function (see Section A.3.10).
  • has series expansion .
  • Hypergeometric0F1, Hypergeometric1F1, and Hypergeometric2F1 are special cases of HypergeometricPFQ.
  • In many special cases, HypergeometricPFQ is automatically converted to other functions.
  • For , HypergeometricPFQ[ alist , blist , z ] has a branch cut discontinuity in the complex z plane running from to .
  • See the Mathematica book: Section 3.2.10.
  • See also: MeijerG.

    Further Examples

    The function specializes for some particular choices of the arguments.

    In[1]:=

    Out[1]=

    This is the derivative.

    In[2]:=

    Out[2]=

    This is the indefinite integral.

    In[3]:=

    Out[3]=

    This is a series expansion around .

    In[4]:=

    Out[4]=