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Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > Hypergeometric Functions > HypergeometricPFQRegularized >

HypergeometricPFQRegularized

HypergeometricPFQRegularized
is the regularized generalized hypergeometric function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
Evaluate numerically:
Evaluate symbolically:
Series expansion at the origin:
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Evaluate symbolically:
In[1]:=
Click for copyable input
Out[1]=
 
Series expansion at the origin:
In[1]:=
Click for copyable input
Out[1]=
Evaluate for complex arguments and parameters:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
HypergeometricPFQRegularized evaluates to simpler functions for certain parameters:
HypergeometricPFQRegularized threads element-wise over lists in its third argument:
TraditionalForm formatting:
Find a fractional derivative of BesselJ:
Integral of order of BesselJ:
Use FunctionExpand to express the input in terms of simpler functions:
Integrate may return results involving HypergeometricPFQRegularized:
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